Answer
Slope: $-\frac{4}{3}$
$y$-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 definition to find the slope and $y$-intercept of $6y=-8x-18$
First, we must write this equation in slope intercept form.
To do so, we divide by $6$ on both sides of the equation: $y=-\frac{8}{6}x-\frac{18}{6}$
We simplify: $y=-\frac{4}{3}x-3$
Since $-\frac{4}{3}$ takes the place of $m$, it is the slope.
Since $-3$ takes the place of $b$, it is the $y$-intercept.
