Answer
The slope is $-\frac{7}{2}$ and the y-intercept is (0,5).
Work Step by Step
We are given that $7x+2y=10$
First, subtract 7x from both sides.
$2y=-7x+10$
Divide both sides by 2.
$y=\frac{-7x+10}{2}=-\frac{7}{2}x+5$
The equation is now in the form $y=mx+b$, where m is the slope of the line and b is the y-coordinate of the y-intercept. The slope is $-\frac{7}{2}$ and the y-intercept is (0,5) because the y-intercept is the point at which the line crosses the y-axis, which happens at x=0.
