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

1 Answer
Dec 10, 2016

#m=5#

Explanation:

Use the slope formula, #m=(y_2-y_1)/(x_2-x_1)#, where #m# is the slope and #(x_1,y_1)# one point, and #(x_2,y_2)# is the other point.

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

I am going to make Point 1 #(3,-2)#, and Point 2 #(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)/2#

#m=10/2#

#m=5#

Reversing the Points

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

#m=(-10)/-2#

#m=10/2#

#m=5/2#