Slope: $5$ $y$-intercept: $-3$
Work Step by Step
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 $y=5x-3$. We can rewrite this equation in slope-intercept form as $y=5x+(-3)$ Since $5$ takes the place of $m$ in the equation, it is the slope. Since $-3$ takes the place of $b$ in the equation, it is the $y$-intercept.