Answer
$y = \frac{5}{9} x - \frac{1}{3}$
Domain is [-3, 6]
Work Step by Step
Find slope of line segment between (-3, -2) and (6, 3)
$m = \frac {3 - (-2)}{6 - (-3)} = \frac{5}{9}$
$y = mx + b$
Find b, substitute (6, 3)
$3 = 6 (5/9) + b$
$b = 3- (10/3)$
$b = \frac{-1}{3}$
Thus $y = \frac{5}{9} x - \frac{1}{3}$
Domain is [-3, 6]
