Question

(4,3),(-4,7)
find the equation of the two slopes in y=mx+b form

Answer 1

y=-1/2x + 5

Explanation:

We first find the difference between the points. 4 - -4 = 8, and 3 - 7 = -4.

8/-4 = -1/2, so we know that is our slope(m).

Then to find our y-intercept(b), we need to know what y is at x=0. We can easily find this by picking one of the points we already have, I'll just do (4,3), and multiply our slope by the x number of the point.

-1/2 * 4 = -2. But we need it to be 3 to match up with our point. 3- -2 = 5, which is our y-intercept.