Question

For each line the SLOPE between the 2 points given - simply each fraction to prove that the lines have a CONSTANT rate of change : 1) Point T : 2) Point R :3) Point S : 4) Slope of TR : 5) Slope of RS : 6) Slope of TS :7) Describe the slope of the line = 8) Therefore the CONSTANT rate of change is ... ?

Answer 1

T = (-5, 0)

R = (1, 2)

S = (7, 4)

Slope TR = (4 - 0) / (7 + 5) = 4/12 = 1/3

Slope RS = (4 - 2) / (7 - 1) = 2/6 = 1/3

Slope TS = (4 - 0) / (7 + 5) = 4/12 = 1/3

The slope was always 1/3 so the rate of change is constant.

The rate of change = 1/3