The dimension of front face is l=4 ft and b=12 ft.
Determine the area of each front face of prism.
\(\begin{gathered} A_1=4\times12 \\ =48 \end{gathered}\)The dimension of top face is l=4 ft and b=7 ft.
Determine the area of each top face.
\(\begin{gathered} A_2=4\times7 \\ =28 \end{gathered}\)The dimension of side face is l=7 ft abd b=12 ft.
Determine the area of each side face.
\(\begin{gathered} A_3=12\times7 \\ =84 \end{gathered}\)Determine the total surface area of prism.
\(\begin{gathered} A=2A_1+2A_2+2A_3 \\ =2\times48+2\times28+2\times84 \\ =96+56+168 \\ =320 \end{gathered}\)So total surface area of prism is 320 square feet.
What is the vertex of the equation f(x)=-4(x+2)^2+1
Answer: (-2,1)
Step-by-step explanation:
Step-by-step explanation:
and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to
The product of buvo numbers is 21. If the first number is-3 which equation represents this situation and what is the second number?
OA The equation that represents this situation is x-3 = 21. The second number is 24
The equation that represents this situation is 3x=21. The second number is 7
OC The equation that represents this situation is 3x=21. The second number is -7
OD. The equation that represents this situation is 3+x=21. The second number is 18.
Answer:
- 3 + x = 21
X = 24
Step-by-step explanation:
- 3 + x = 21
X = 21 + 3
X = 24
Jill invest $400 in a savings bond. The value of the bond V(x) in hundreds of dollars after x years is illustrated in the table below. Which equation and statement illustrate the approximate value of the bond in hundreds of dollars over time in years?
Answer:
V(x) = 4(1.35)x, and it grows.
Step-by-step explanation:
The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:
"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can use the given data points to approximate the relationship between the value of the bond and time by fitting a curve that best fits the points.
Based on the given data,
It seems that the value of the bond is increasing at an accelerating rate over time.
We can try to approximate this relationship by fitting a quadratic equation to the data.
Let's assume that the relationship between the value of the bond and time can be approximated by the quadratic equation:
V(x) = ax² + bx + c
where V(x) is the value of the bond in hundreds of dollars after x years, and a, b, and c are constants to be determined.
To solve for a, b, and c, we can use the three data points for which we have values of V(x):
V(0) = 4, V(1) = 5.4, V(2) = 7.29
Substituting these values into the equation.
a(0)² + b(0) + c = 4
a(1)² + b(1) + c = 5.4
a(2)² + b(2) + c = 7.29
Simplifying.
c = 4
a + b + c = 5.4
4a + 2b + c = 7.29
Substituting c = 4.
a + b = 1.4
4a + 2b = 3.29
Solving for a and b.
a = 0.725
b = 0.675
Now,
The equation that approximates the relationship between the value of the bond and time is:
V(x) = 0.725x² + 0.675x + 4
This equation tells us that the value of the bond is increasing at an accelerating rate over time, starting at $400 (or 4 hundred dollars) and increasing by approximately 0.725 hundred dollars for each year squared, plus 0.675 hundred dollars for each year, plus a constant 4 hundred dollars. For example, after 5 years, the value of the bond would be approximately:
V(5) = 0.725(5)² + 0.675(5) + 4 = 23.75
Therefore,
The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:
"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.
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X
7.
14
11
-10
у
-3
-9
-4
-3
15
O Function
O Not a Function
Answer:
function
Step-by-step explanation:
im not 100% sure
What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
Find the graph of the solution set of the following system of linear inequalities
Answer:
the graph looks like this:-
Step-by-step explanation:
for inequality 1
if we take x = 0 we get y = -4
and if we take y =0 we get x = 16
so we get 2 points (0, -4) and (16, 0) and the graph must pass thru these two.
now checking if the origin satisfies the inequality or not
take x and y = 0
0 + 0 is not greater than or equal to -16
so origin doesn't satisfy the inequality.
shade the graph on the side, of the line, opposite to where the origin is.
for inequality 2
if we take x = 0 we get y = 2
and if we take y =0 we get x = -⅔
so we get 2 points (0, 2) and (-⅔, 0) and the graph must pass thru these two.
the line should be a dotted line.
now checking if the origin satisfies the inequality or not
take x and y = 0
0 + 0 is less than 2
so origin satisfies the inequality.
shade the graph on that side of the line where the origin is.
[ red line shows graph 1 whereas the blue dotted line represents graph ]
The data in which table represents a linear function that has a slope of zero? A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5. A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 2, 3, 4, 5. Column 2 is labeled y with entries negative 5, negative 4, negative 3, negative 2, negative 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 4, 3, 2, 1. A 2-column table with 5 rows. Column 1 is labeled x with entries 5, 5, 5, 5, 5. Column 2 is labeled y with entries negative 5, negative 4, negative 3, negative 2, negative 1.
Answer:
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5.
Step-by-step explanation:
The table with all y-values the same will graph as a horizontal line, a line with a slope of zero.
Apparently, the first table is like that.
Answer:
A is the answer
Step-by-step explanation:
just took the test
what is equivalent to 10+ 4(-8q - 4)?
.25 = p ,
Solution :
equivalent to 10+ 4(-8q - 4)
Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at examples of equivalent equations, how to solve them for one or more variables, and how you might use this skill outside a classroom.
Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at
examples of equivalent equations
Equivalent equations are algebraic equations that have identical solutions or roots.
Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation.
Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
The first step is to know the rules of equivalent equations:
Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation.
Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
Raising both sides of the equation to the same odd power or taking the same odd root will produce an equivalent equation.
If both sides of an equation are non-negative, raising both sides of an equation to the same even power or taking the same even root will give an equivalent equation.
Solution :
10+ 4(-8q - 4)=0
10+ 4(-8q ) = 4
10-24 p =4
10 -4 =24 p
6 =24 p
6/24 = p
1/4 = p
.25 = p
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answer please I need help
Answer:
second one
Step-by-step explanation:
it's closest
Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f by a factor of 2, then shifting the graph of to the right 3 units and upward 3 units.
The function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f by a factor of 2, then shifting the graph of to the right 3 units and upward 3 units is g(z) = 2f(z + 3) + 3.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
If the graph of g is obtained by vertically stretching f by a factor of 2, then shifting the graph of f to the right 3 units and upward 3 units, then we have:
g(z) = A f(z - B) + C
where A is the vertical stretch factor, B is the horizontal shift, and C is the vertical shift.
Since the graph of f is being vertically stretched by a factor of 2, we have A = 2.
The graph of f is being shifted to the right 3 units and upward 3 units. This means that the point (0, 0) on the graph of f will be shifted to the point (3, 3) on the graph of g. Therefore, we have:
B = -3 (the opposite of the horizontal shift of f)
C = 3 (the vertical shift of f)
Putting it all together, we have:
g(z) = 2f(z + 3) + 3
Therefore, the function g(x) will be g(z) = 2f(z + 3) + 3.
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Compare the Poisson approximation with the correct binomial probability for the following cases:
(a) P{X=2} when n = 8, p =0.1;
(b) P{X=9} when n = 10, p = 0.95;
(c) P{X=0} when n = 10,p=0.1;
(d) P{X=4} when n = 9, p =0.2;
(a) The Poisson approximation is 0.019 and the binomial probability is 0.134. (b) The Poisson approximation is 0.187 and the binomial probability is 0.039. (c) The Poisson approximation is 0.135 and the binomial probability is 0.348. (d) The Poisson approximation is 0.167 and the binomial probability is 0.206.
(a) The Poisson approximation is
P(X=2) =\((e^(-0.8)*(0.8^2))/2!\)
= 0.019.
The binomial probability is
P(X=2) = \((8C2)*(0.1^2)*(0.9^6)\)
= 0.134.
(b) The Poisson approximation is
P(X=9) = \((e^(-9.5)*(9.5^9))/9!\)
= 0.187.
The binomial probability is
P(X=9) = \((10C9)*(0.95^9)*(0.05^1)\)
= 0.039.
(c) The Poisson approximation is
P(X=0) = \((e^(-1)*(1^0))/0! = 0.135.\)
The binomial probability is
P(X=0) = \((10C0)*(0.1^0)*(0.9^10)\)
= 0.348.
(d) The Poisson approximation is
P(X=4) = \((e^(-1.8)*(1.8^4))/4!\)
= 0.167.
The binomial probability is
P(X=4) = \((9C4)*(0.2^4)*(0.8^5)\)
= 0.206.
The Poisson approximation is used when the number of trials is large and the probability of success is small. It is a good approximation for the binomial distribution in these cases. When n is smaller and p is larger, the Poisson approximation is not as accurate. In the cases provided, the Poisson approximation is close to the binomial probability when n is small and p is small, but it is not as accurate when n is larger and p is closer to 1. The Poisson approximation is always smaller than the binomial probability.
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Helpppppppppppppppppppppplppoollooppp
Answer:
I wouldn't advise putting answers from test on brainly its against the honor of code and you will get warned.
Step-by-step explanation:
Find the radius of a circle with a diameter of 12 cm
Which results only in a horizontal compression of Y = by a factor of 6?
Answer:
Y = 6*y
Step-by-step explanation:
We have Y = b * y by a factor of 6.
That is, b = 6.
now, to find what results only in a horizontal compression of y = b * y by a factor of 6.
By transformation rule, the function would be a horizontal compression f (a * x) if a> 1.
Therefore, knowing the above, the answer would be:
Y = 6 * y
What are the rules of multiplying decimals?
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation:
Use the coordinates of the labeled point to find the point-slope equation of
the line.
A. y-5=-3(x+3)
B.y-3-(x+5)
C. y + 5 = 3(x+3)
D. y + 5 = -3(x-3)
(3,-5)
By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.0 5 2 -2
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 + 5)/(0 - 3)
Slope (m) = -9/3
Slope (m) = -3
At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-5) = 3(x - 3)
y + 5 = -3(x - 3)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Use the graph below to identify the key characteristics.
This graph represents exponential (growth or decay) .
The y-intercept, written as a coordinate point, is
The horizontal asymptote is
**For domain and range, please use "inf" for infinity**
The domain is
The range is
The characteristics of the function graphed are given as follows:
The graph represents exponential growth.The y-intercept, written as a coordinate point, is (0,2).The horizontal asymptote is y = 2.The domain is: (-Inf, Inf).The range is: (2, Inf).How to obtain the characteristics of the function?As the function is increasing, the graph represents exponential growth.
The y-intercept is the value of y at which the graph crosses the y-axis, hence:
y = 2, point (0,2).
Which is also the horizontal asymptote, as it is the lowest value assumed by the function.
The domain and range are given as follows:
Domain: (-Inf, Inf), as the function is defined for all real values.Range: (2, Inf) -> values of y.More can be learned about functions at https://brainly.com/question/24808124
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A right circular cylinder with its diameter equal to its height is inscribed in a right circular cone.The cone has diameter 10 and altitude 15, and the axes of the cylinder and the cone coincide. find the volume of the cylinder.
O 30/23
O 30/11
O 15/11
O 17/11
O 3/2
The volume of the cylinder is 169.7. (Option C)
Based on the provided information, let the radius of the cylinder be r and diameter of the cylinder be 2r. The diameter and height of the circular cylinder is the same. When examining the cross section of the cone and cylinder, there are two similar triangles. Hence,
(15 – 2r)/15 = r/5
5(15 – 2r)= 15r
75 – 10r = 15r
r = 3
Volume of the cylinder = πr^2h where r is the radius of the cylinder and h is the height of cylinder. As h = 2r, Hence,
V = πr^2(2r) = (22/7)(3^2)(6) = 169.7
Note: The question is incomplete as the options are incorrect. The correct options are A) 127.5 B) 151.6 C) 169.7 D) 168.5
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100xy , 75xyz helpppppppp
In the expansion of (2+3x)^n, the coefficients of x^3 and x^4 are in the ratio of 8:15. FIn the expansion of (2+3x)^n, the coefficients of x^3 and x^4 are in the ratio of 8:15. Find the value of n.ind the value of n.
The value of n is 8.
What is Binomial Theorem?Binomial theorem is the method of expanding an expression consisting of two terms raised to any power.
Using the expansion of Binomial theorem, we can write,
(2 + 3x)ⁿ = ⁿC₀ (2)ⁿ (3x)⁰ + ⁿC₁ (2)ⁿ⁻¹ (3x)¹ + ⁿC₂ (2)ⁿ⁻² (3x)² + ⁿC₃ (2)ⁿ⁻³ (3x)³ + ⁿC₄ (2)ⁿ⁻⁴ (3x)⁴ + .............
Coefficient of x³ is ⁿC₃ (2)ⁿ⁻³ (3)³ and the coefficient of x⁴ is ⁿC₄ (2)ⁿ⁻⁴ (3)⁴.
Ratio of these coefficients is 8 : 15.
[ⁿC₃ (2)ⁿ⁻³ (3)³] / [ⁿC₄ (2)ⁿ⁻⁴ (3)⁴] = 8 / 15
Simplifying,
(4 × 2) / [(n - 3) 3] = 8/15
8 / 3n - 9 = 8 /15
Equating, we have,
3n - 9 = 15
3n = 24
n = 8
Hence the value of n is 8.
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Help me plssssssssss
Answer:
The answers are as follows:
5. \(12+3 = 3+12\)
7. \((6+4)+8 = 6+(4+8)\)
9. \((10*5)*7 = 10*(5*7)\)
Step-by-step explanation:
5. 12 and 3
Commutative property of addition states that the order of two numbers in addition doesn't matter; the result will be the same. If a and b are two numbers then the property will be:
a+b = b+a
For the given question, the commutative property will be:
\(12+3 = 3+12\)
Associative property deals with three numbers or variables. It states that when 3 numbers are being added or multiplied their order doesn't affect the result.
It can be stated as:
(a+b)+c = a+(b+c)
7. 6,4 and 8
The associative property will be:
\((6+4)+8 = 6+(4+8)\)
9. 10,5 and 7
\((10*5)*7 = 10*(5*7)\)
Hence,
The answers are as follows:
5. \(12+3 = 3+12\)
7. \((6+4)+8 = 6+(4+8)\)
9. \((10*5)*7 = 10*(5*7)\)
Add the words that complete the thought in the underlined sentence
Of the artwork would be the best answer because the context clue of Main Street!
Answer:
Of the artwork
Step-by-step explanation:
I got it right on the quiz
What is the simplified form of 3(5V3 + 3V3)?
Answer:
\( 24 \sqrt{3} \)
Step-by-step explanation:
\(3(5 \sqrt{3} + 3 \sqrt{3} ) \\ \\ = 3(5 + 3 ) \sqrt{3} \\ \\ = 3(8) \sqrt{3} \\ \\ = 24 \sqrt{3} \)
Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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Tommy purchased a new vacuum for $1,150 at the Best Buy. He has a 15% coupon. How much will he save?
Answer:
$172.50
Step-by-step explanation:
1150 * 0.15 = 172.5
Answer:
the answer is 172.50
Step-by-step explanation:
So is the price for the the vacuum 1.150 and the coupon is 15% then u multiply them and get 172.50 which is your answer
Step-by-step explanation
1150 * 0.15 = 172.5
If it was helpful can u mark me brainliest pls!!!!!!!!!!!
PLS HELP ME!
Um doing venn digrams so u have to set one up for it to work... TWENTY POINTS
Answer:
Creating a diagram..
Step-by-step explanation:
Alrighty, I've made a diagram. I've even uploaded it so everyone can see how good at drawing I am (not)
a. 7 do not own anything.
b. the probability that someone owns a bone or a stick is 50%.
c. the probability that someone owns a rock and a bone is 14%.
d. the probability that someone owns at least 2 items is 42%.
e. the probability that someone owns only 1 of these items is 51%.
Please tell me if im wrong! im only a student .m.
Which expression is equival 81 1/3?
Answer: 3^3 Square root 3
Step-by-step explanation:
Zoe rode her motorcycle down a straight freeway at 80kilometersperhour for a total of 4hours. There was a car behind her for one-half of that time. How far did Zoe ride while the car was behind her?
Write your answer as a whole number.
The distance that Zoe rode while the car was behind her was of:
160 kilometers.
How to obtain the distance?The relation between velocity, distance and time is that the velocity is the distance divided by time, hence the equation is presented as follows:
v = d/t.
The values of the parameters in this problem are given as follows:
Velocity of v = 80 km/h.Time of t = 4 h.(both of these measures are taken from the first sentence of the problem).
Then the total distance is obtained replacing the values into the equation as follows:
80 = d/4
d = 80 x 4
d = 320 kilometers.
The car was behind her for half the trip, hence the distance that the car spent behind her was of:
d = 0.5 x 320 = 160 kilometers.
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4. What is Probability?
(ii) State the axioms of probability
(iii)Two fair dice are thrown, what is the probability of getting
(a) the sum of 9
(b) two odd numbers
(c) two prime numbers
(d) two factors of 12
4c. What is Statistics?
(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.
(ii) The axioms of probability are:
the non-negativity (that the probability of an event is greater than or equal to zero), and
the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).
(iii) When two fair dice are thrown the probability of getting:
a) The sum of 9 = 1/9
b) Two odd numbers = 1/4
c) two prime numbers = 1/9
d) two factors of 12 = 1/9
(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.
How to find probability when two dice are thrown?To find probability when two dice are thrown, we have:
(a) The sum of 9:
We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways
A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.
(b) Two odd numbers:
We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).
possible outcomes = 9,
So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.
(c) Two prime numbers
We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)
possible outcomes = 4,
So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.
(d) Two factors of 12:
We count the number of ways and divide by the total possible outcomes.
The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways
possible outcomes = 6
Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12
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A line passes through the point (6, -4) and has a slope of - 4/3
Write an equation in point-slope form for this line.
Answer:
y--4=-4/3(x-6)
Then, y+4=-4/3(x-6).