What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)?

Question

What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)?

Answer 1

First, there are several terms that mean SLOPE"

m in y = mx + b

rate of change

incline

grade

"rise over run"

slant

incline

. . .

Now use either point for P₁ and the other point for P₂ (you will get the same answer):

m = (y₂ - y₁) / (x₂ - x₁)

m = ( 14 - (-10) ) / ( (-6) - 8 ) = 24 / (-14) = -12/7