Answer
$\color{blue}{y=-\dfrac{1}{5}x-2}$
Work Step by Step
RECALL:
The slope-intercept form of a line's equation is:
$y=mx+b$
where $m$ = slope and $b$ = y-intercept
The y-intercept of the line is $-2$.
Substitute $-2$ for $b$ into the standard form to obtain the tentative equation:
$y=mx+(-2)
\\y=mx-2$
To find the value of $b$, substitute the values of x and y of the given point into the tentative equation above to obtain:
$y=mx-2
\\-3=m(5)-2
\\-3=5m-2
\\-3+2=5m
\\-1=5m
\\-\frac{1}{5} = m$
Thus, the equation of the line is $\color{blue}{y=-\dfrac{1}{5}x-2}$.
