Constant Rate of Change

Question

Given the points: (-5.2, 8), (-3.7, ___) and the y-intercept: (0.1, 1.1) determine the constant rate of change of y with respect to x. Then find determine the value of the missing point.

Answer 1

Since the rate of change is constant, the function will have the single slope.  This means that every point lies on the same line.

 

So find the slope between (-5.2, 8) and (0.1, 1.1). 

 

slope = (1.1 - 8) / (0.1 - (-5.2))

 

Then once you have your slope, set up an equation using the slope, y-intercept, and coordinate point with the missing value.

 

slope = (1.1 - y) / (0.1 - (-3.7))

 

where y is the missing value.