Question

what is the standard form y - 7 = - 2\3 ( x + 1 )? (A) -2x + 3y = 23 (B) -3x + 2y = 17 (C) 2x + 3y = 19(D) 3x + 2y = 11

Answer 1

Simplify the equation to obtain in standard form.

$\begin{gathered} y-7=-\frac{2}{3}(x+1) \\ 3(y-7)=-2(x+1) \\ 3y-21=-2x-2 \\ 3y+2x=21-2 \\ 3y+2x=19 \end{gathered}$

So answer is 2x + 3y = 19.