Question

The slope of the line that passes through the points (5, -6) and (-2, 8) is?

Answer 1

The slope m of a straight line passing through points (x₁,y₁) and (x₂,y₂) can be calculated like this:

                                           m = change in y-value /  change in x-value

                                          ⇒ m = (y₂ - y₁) / (x₂ -x₁)

∵ the points (5, -6) and (-2, 8) are given, substituting :

                                          ⇒ m = ( 8 - (-6)) / (-2 - (5))  

                                           ⇒ m = 14 / (-7)  = -2

∴ m = -2 is slope