Answer
$x+2y=-8$
Work Step by Step
Using $y-y_1=\dfrac{y_1-y_2}{x_1-x_2}(x-x_1)$ or the Two-PointForm, the equation of the line passing through $(
-6,-1
)$ and $(
-4,-2
)$ is
\begin{array}{l}
y-(-1)=\dfrac{-1-(-2)}{-6-(-4)}(x-(-6))
\\\\
y+1=\dfrac{-1+2}{-6+4}(x+6)
\\\\
y+1=\dfrac{1}{-2}(x+6)
\\\\
-2(y+1)=1(x+6)
\\\\
-2y-2=x+6
\\\\
-x-2y=6+2
\\\\
-x-2y=8
\\\\
x+2y=-8
.\end{array}