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.