How do you find the slope of the line passing through (0,-8), (-9,10)?

1 Answer
May 5, 2018

Slope #=-2#
(see below for method)

Explanation:

By definition the slope of a line between two points is the difference between the #y# coordinates divided by the difference between the #x# coordinates (taken in the same order).

For the points #(x_1,y_1)=(0,-8)# and #(x_2,y_2)=(-9,10)#
we have
#color(white)("XXX")"slope" = (Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)=(10-(-8))/(-9-0)=18/(-9)=-2#