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

x	-2	-1	0	1	2
y	-2	1	4	7	10

Solution:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

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 (-2, -2) and (-1, 1)

So the slope joining these points is

m = Δy/ Δx

m = (1-(-2)/ (-1 - (-2))

By further calculation

m = (3)/(1)

So we get,

m = 3

Therefore, the slope of the function is 3.

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

x	-2	-1	0	1	2
y	-2	1	4	7	10

Summary:

The table represents a linear function. The slope of the function is 3.