Question

A linear function includes the points (2, 3) and (6, 8). What is the rate of change of the linear function?

a. 1/4
b. 5/4
c. 1
d. 4/5

Answer 1

The rate of change of the linear function is 5/4 or option b.

Step-by-step explanation:

The rate of change of a linear function can be found by calculating the slope of the line formed by the two given points.

Using the formula for slope, which is represented as ∆y / ∆x, where ∆y is the change in the y-values and ∆x is the change in the x-values, we can substitute the values from the given points (2, 3) and (6, 8).

Slope = (8 - 3) / (6 - 2) = 5 / 4

Therefore, the rate of change of the linear function is 5/4 or option b.