Question

For each line find the Slope between the 2 points given - simplify 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) Slopw of TS : 7) Describe the Slope of the line : 8) Therefore the CONSTANT RATE OF CHANGE is ....?

Answer 1

For each line find the Slope between the 2 points given - simplify 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) Slopw of TS :



7) Describe the Slope of the line :

8) Therefore the CONSTANT RATE OF CHANGE is ....?​

Part 1) Point T(-7,6)

Part 2) Point R(-3,0)

Part 3) Point S(1,-6)

part 4) Find the slope TR

m=(0-6)/(-3+7)

m=-6/4

m=-3/2

Part 5) Find the slope RS

m=(-6-0)/(1+3)

m=-6/4

m=-3/2

Part 6) Find teh slope TS

m=(-6-6)/(1+7)

m=-12/8

m=-6/4

m=-3/2

Part 7) Describe the Slope of the line

the slope of the line is negative and its value is -3/2 and is constant

Part 8) Therefore the CONSTANT RATE OF CHANGE is ....?​

REmember that the slope of the linear equation is the same that the rate of change, is a constant value equal to -3/2