Question

Which equations are equivalent to Y=2/3 x - 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

Answer 1

A) No.
B) Yes.
C) Yes.
D) No.
E) No.
Chek it!
Good luck!
M.

Answer 2

B.)2x-3y=12

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

Explanation:

In order to see which equations are equivalent you just need to solve the equations for Y, so lets solve the two that are correct:

2x-3y=12

-3y=12-2x

y=12/-3 - -2x/-3

y=2/3x -4

So this one is equivalent, the second:

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

We can eliminate both -4 from both sides and are left with the same equation as the B option, so both are equivalent.