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hich equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply. 3 x minus 2 y = 4 2 x minus 3 y = 12 Negative 4 (2 x minus 3 y) = negative 4 (12) 2 (x + 6) = 3 y 2 x minus 3 y = 4

User Deyon
by
9.3k points

2 Answers

3 votes

Answer:

Answer:

Explanation:

Given

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3

---- Equation 1

Subtract 3y from both sides

Add 12 to both sides

Rearrange:

---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4

---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to

Explanation:

User Sdduursma
by
7.7k points
2 votes

Answer:


2x - 3y = 12


-4(2x - 3y) = -4(12)

Explanation:

Given


y = (2)/(3)x - 4

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3


3* y = 3((2)/(3)x - 4)


3y = 3 * (2)/(3)x - 3 * 4


3y = 2x - 12 ---- Equation 1

Subtract 3y from both sides


-3y + 3y = 2x - 12 - 3y


0 = 2x - 12 - 3y

Add 12 to both sides


12 + 0 = 2x - 12 - 3y + 12


12 = 2x - 3y

Rearrange:


2x - 3y = 12 ---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4


2x - 3y = 12


-4(2x - 3y) = -4(12) ---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to
y = (2)/(3)x - 4

User MyKuLLSKI
by
7.6k points

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