Answer
The slope of the line is $\frac{4}{7}$ and the y-intercept is (0,-4).
Work Step by Step
We are given that $4x-7y=28$. We can transform this is equation into the slope-intercept form $y=mx+b$, where m is the slope of the line and the point (0,b) is the y-intercept.
First, subtract 4x from both sides.
$-7y=-4x+28$
Divide both sides by -7.
$y=\frac{4}{7}x-4$
$m=\frac{4}{7}$ and $b=-4$
Therefore, the slope of the line is $\frac{4}{7}$ and the y-intercept is (0,-4).
