Answer
Slope: $m=\frac{7}{6}$
y-intercept: $(0,-5)$
Work Step by Step
In a linear equation $y=mx+b$, $m$ is the slope and $(0,b)$ the y-intercept. That is, the y-intercept is the point on the line when $x=0$
$7x-6y=30$
$-6y=-7x+30$
$y=\frac{-7}{-6}x+\frac{30}{-6}$
$y=\frac{7}{6}x-5$
Slope: $m=\frac{7}{6}$
y-intercept: $(0,-5)$
