Answer
$y=\dfrac{5}{3}x$
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, then the equation of the line passing through the given points, $(
-6,-10
)\text{ and }(
-3,-5
)$, is
\begin{array}{l}
y-(-10)=\dfrac{-10-(-5)}{-6-(-3)}(x-(-6))
\\\\
y+10=\dfrac{-10+5}{-6+3}(x+6)
\\\\
y+10=\dfrac{-5}{-3}(x+6)
\\\\
y+10=\dfrac{5}{3}(x+6)
\\\\
y+10=\dfrac{5}{3}x+10
\\\\
y=\dfrac{5}{3}x+10-10
\\\\
y=\dfrac{5}{3}x
.\end{array}
