Answer
The equation of the line throught (0, -9) with a slope of $\frac{1}{5}$ is:
$\\\\\color{blue}y=\frac{1}{5}x-9$.
Work Step by Step
RECALL:
$\\\\$ The slope-intercept form of a linear equation is $y=mx+b$ where m = slope and b = y-intercept and $(0, b)$ is the y-intercept point.
$\\\\\\$The given line has a slope of $\frac{1}{5}$ and contains the point $(0,-9)$, which means that the y-intercept is $-9$.
$\\\\\\$Thus, the equation of the line must be $y=\frac{1}{5}x -9$.
