Answer
$y=-5x-7$
Work Step by Step
Using $y-y_1=\dfrac{y_1-y_2}{x_1-x_2}(x-x_1)$ or the Two-Point Form, the equation of the line passing through $(
-3,8
)$ and $(
-2,3
)$ is
\begin{array}{l}
y-8=\dfrac{8-3}{-3-(-2)}(x-(-3))
\\\\
y-8=\dfrac{5}{-1}(x+3)
\\\\
y-8=-5(x+3)
\\\\
y-8=-5x-15
\\\\
y=-5x-15+8
\\\\
y=-5x-7
.\end{array}
