The table represents a linear function. What is the slope of the function?

Solution:

As the slope of a line joining any two points is the same, the function is linear. 

We can consider any two points from the table and find the slope or rise/run between them.

Take the points (-4, -16) and (-2, -6)

So the slope joining these points is

m = Δy/ Δx

m = (- 6 - (-16))/ (-2 - (-4))

By further calculation

m = (10)/ (2)

So we get

m = 5

Therefore, the slope of the function is 5.

The table represents a linear function. What is the slope of the function?

Summary:

The table represents a linear function. The slope of the function is 5.