What is the slope of the line through the points (3, -2) and (5, 8)?

1 Answer
Dec 10, 2016

m=5m=5

Explanation:

Use the slope formula, m=(y_2-y_1)/(x_2-x_1)m=y2y1x2x1, where mm is the slope and (x_1,y_1)(x1,y1) one point, and (x_2,y_2)(x2,y2) is the other point.

m=(y_2-y_1)/(x_2-x_1)m=y2y1x2x1

I am going to make Point 1 (3,-2)(3,2), and Point 2 (5,8)(5,8). (You can reverse the points and get the same results.)

Substitute the known values into the equation.

m=(8-(-2))/(5-3)m=8(2)53

m=(8+2)/2m=8+22

m=10/2m=102

m=5m=5

Reversing the Points

m=(-2-8)/(3-5)m=2835

m=(-10)/-2m=102

m=10/2m=102

m=5/2m=52