Answer
$y=\frac{1}{5}x+\frac{23}{5}$ or $x-5y=-23$
Work Step by Step
Step 1. Given points $(-3,4),(2,5)$, we can find the slope $m=\frac{4-5}{-3-2}=\frac{1}{5}$.
Step 2. Using either point (2nd used here), we can write the equation as $y-5=\frac{1}{5}(x-2)$ or $y=\frac{1}{5}x+\frac{23}{5}$ or $x-5y=-23$