Answer
$y = \frac{-7}{6} x - \frac{4}{3}$
Work Step by Step
Find slope of line between (-2, 1) and (4, -6)
$m = \frac {-6 - 1}{4 - (-2)} = \frac{-7}{6}$
$y = mx + b$
Find b, substitute (-2, 1)
$1 = -2 (-7/6) + b$
$b = 1- (14/6)$
$b = \frac{-8}{6}$
Thus $y = \frac{-7}{6} x - \frac{4}{3}$
