Answer
$y = (a/b)x+ \frac{(-ga+bh)}{b}$
Work Step by Step
If the line is parallel to the line with slope a/b, then it must have slope a/b. Using point slope form, we see:
$y-h = a/b(x-g)$
$y = (a/b)x-(ga/b)+h$
Thus, the slope intercept form is:
$y = (a/b)x+ \frac{(-ga+bh)}{b}$
