Answer
$y-2=\frac{3}{4}(x-1)$
Work Step by Step
The given line passes through the points $(-3,-1)$ and $(1,2)$. Using $m=\frac{y_2-y_1}{x_2-x_1}$ or the Slope Formula, then the slope of the line is
$$
m=\frac{-1-2}{-3-1}=\frac{-3}{-4}=\frac{3}{4}
.$$
Using $y-y_1=m(x-x_1)$ or the Point-Slope Form, with $m=\frac{3}{4}$ and passing through $(1,2)$, then an equation of the line is
$$\begin{aligned}
y-2&=\frac{3}{4}(x-1)
.\end{aligned}$$
