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erastovalidia [21]
3 years ago
12

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:
klemol [59]3 years ago
4 0

Answer:

B and C

Step-by-step explanation:

Rearrange each equation into slope- intercept form

A

3x - 2y = 4 ( subtract 3x from both sides )

- 2y = - 3x + 4 ( divide all terms by - 2 )

y = \frac{3}{2} x - 2 ← not equivalent

B

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 2 )

y = \frac{2}{3} x - 4 ← equivalent

C

- 4(2x - 3y ) = - 48 ( divide both sides by - 4 )

2x - 3y = 12 ← same as B ⇒ equivalent

D

2(x + 6) = 3y

3y = 2x + 12 ( divide all terms by 3 )

y = \frac{2}{3} x + 4 ← not equivalent

E

2x - 3y = 4 ( subtract 2x from both sides )

- 3y = - 2x + 4 ( divide all terms by - 3 )

y = \frac{2}{3} x - \frac{4}{3} ← not equivalent



icang [17]3 years ago
4 0

Answer:

B and C

Step-by-step explanation:

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