Answer
Point: $(-7,12)$
Slope: $\frac{4}{9}$
Work Step by Step
The point-slope form of an equation of a non-vertical line with slope $m$ through the point $(x_1,y_1)$ is $y-y_1=m(x-x_1)$.
We use this definition to find the slope and a point on the graph of $y-12=\frac{4}{9}(x+7)$.
First, we rewrite in point-slope form: $y-12=\frac{4}{9}(x-(-7))$
$12$ takes the place of $y_1$, so it is the $y$-coordinate of the point.
$-8$ takes the place of $x_1$, so it is the $x$-coordinate of the point.
$\frac{4}{9}$ takes the place of $m$, so it is the slope.
