Answer
$y+6=1(x+4)$
Work Step by Step
Using $y-y_1=m(x-x_1)$ or the Point-Slope form where $m$ is the slope and $(x_1,y_1)$ is a point on the line, then the equation of the line with the given slope equal to $
1
$ and with the given point $\left(
-4,-6
\right)$ is
\begin{array}{l}
y+6=1(x+4)
.\end{array}