Answer
$y= -\frac{4}{3}x$
Work Step by Step
Let $(x_{1},y_{1})=(-3,4)$ and $(x_{2},y_{2})=(0,0)$
Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{0-4}{0-(-3)}=\frac{-4}{3}$
Because the line crosses the y-axis at $(0,0)$,
Y-intercept $b=0$.
Slope-intercept form is
$y=mx+b$.
Substituting the values of $m$ and $b$, we get an equation of line as
$y=-\frac{4}{3}x+0$
Or $y= -\frac{4}{3}x$
