Answer
Slope: $-3$
$y$-intercept: $2$
Work Step by Step
We first must put the equation $y-2=-3x$ into slope-intercept form.
We add $2$ to both sides of the equation: $y=-3x+2$
The slope-intercept form of a linear equation of a non vertical line is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept.
We use this to pick out the slope and the $y$-intercept from the equation $y=-3x+2$.
Since $-3$ takes the place of $m$ in the equation, it is the slope.
Since $2$ takes the place of $b$ in the equation, it is the $y$-intercept.
