Answer
$y=\frac{2}{3}x-12$
Work Step by Step
Bring the equation of the given line in the slope intercept form:
$2x-3y=30$
$-3y=-2x+30$
$3y=2x-30$
$y=\frac{2}{3}x-15$
Let $m$ be the slope of this line. Then
$m=\frac{2}{3}$
The required line has slope $m$ and passes through $(24,4)$. Its equation is:
$y-4=\frac{2}{3}(x-24)$
Bring it to slope intercept form:
$3y-12=2(x-24)$
$3y-12=2x-48$
$3y=2x-48+12$
$3y=2x-36$
$y=\frac{2}{3}x-\frac{36}{3}$
$y=\frac{2}{3}x-12$
