Question

Find the slope of the line and write the slope as a rate of change. This graph
approximates the number of households that have personal computers y (in
millions) for year x.
Calculate the slope.
m =

Answer 1

The slope of the line is the rate of change of the graph

The rate of change of the line is 3 million households per year

How to determine the slope of the line?

From the line, we have the following points

(x,y) = (2002,74) and (2006,86)

The slope is then calculated as:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

Substitute known values

$m = \frac{86 - 74}{2006 - 2002}$

Evaluate the differences

$m = \frac{12}{4}$

Evaluate the quotient

$m = 3$

This means that the slope is 3 million

Hence, the rate of change of the line is 3 million households per year

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