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Kaylis [27]
3 years ago
13

Which equations are equivalent to Y=2/3X-4 when written in slope-intercept form? Check all that apply. A =3X-2Y=4. B=2X-3Y=12. C

-4(2X-3Y)=-4(12). D=2(X+6)=3Y. E=2X-3Y=4
Mathematics
2 answers:
shusha [124]3 years ago
6 0

The slope-intercept form: y = mx + b.

The standard form: Ax + By = C.

We have:

y=\dfrac{2}{3}x-4       <em>multiply both sides by 3</em>

3y=2x-12     <em>subtract 2x from both sides</em>

-2x+3y=-12       <em>change the signs</em>

2x-3y=12\to\boxed{B.}      <em>multiply both sides by (-4)</em>

-4(2x-3y)=-4(12)\to\boxed{C.}

<h3>Answer: B and C.</h3>

A. 3x - 2y = 4   - NOT

D. 2(x + 6) = 3y → 2x + 12 = 3y → 2x - 3y = -12      - NOT

E. 2x - 3y = 4    - NOT

scoundrel [369]3 years ago
5 0

Answer:

B  2X-3Y=12

C -4(2X-3Y)=-4(12)

Step-by-step explanation:

y = 2/3 x -4

multiply by 3

3y = 2x -12   factor out a 2    3y = 2(x-6)

subtract 2x from each side

-2x+3y = -12

multiply by -1

2x-3y = 12

multiply by -4

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

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