The slope-intercept form: y = mx + b.
The standard form: Ax + By = C.
We have:
[tex]y=\dfrac{2}{3}x-4[/tex] multiply both sides by 3
[tex]3y=2x-12[/tex] subtract 2x from both sides
[tex]-2x+3y=-12[/tex] change the signs
[tex]2x-3y=12\to\boxed{B.}[/tex] multiply both sides by (-4)
[tex]-4(2x-3y)=-4(12)\to\boxed{C.}[/tex]
Answer: B and C.
A. 3x - 2y = 4 - NOT
D. 2(x + 6) = 3y → 2x + 12 = 3y → 2x - 3y = -12 - NOT
E. 2x - 3y = 4 - NOT
