Answer
$y=-3x+6$
Work Step by Step
Let $(x_1,y_1)=(0,6)$ and $(x_2,y_2)=(3,-3)$
Slope
$\Rightarrow m=\frac{y_2-y_1}{x_2-x_1}$
Substitute all the values.
$\Rightarrow m=\frac{-3-6}{3-0}$
Simplify.
$\Rightarrow m=\frac{-9}{3}$
$\Rightarrow m=-3$
Because the line crosses the $y-$ axis at $(0,6),$ the $y-$intercept is $b=6$.
The slope-intercept form is
$\Rightarrow y=mx+b$
Substitute $-3$ for $m$ and $6$ for $b$.
$\Rightarrow y=-3x+6$
