Answer
$y=1/2x-3.5$
Work Step by Step
We first find the slope. The equation for slope is: $ \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. Thus, we obtain:
$\frac{-2-(-3)}{3-1}=\frac{1}{2}=1/2$
We now plug this slope in for m, plug in an (x,y) point on the graph, and solve for b:
$y=1/2x+b \\\\ -3=1/2(1)+b \\\\ b=-3.5$
We now plug b in with m to get the final equation:
$y=1/2x-3.5$
