Question

find the slope of the line and write a sentence explaining the meaning of the slope as a rate of change. attach the proper units. this graph approximates the number of households that have an internet subscription y (in millions) for year x. the slope of the line is m = (type an integer or a decimal.)

Explanation:

Step1: Identify two points on the line

From the graph, we can take two points \((2014,116)\) and \((2019,124)\).

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Let \(x_1 = 2014,y_1=116,x_2 = 2019,y_2 = 124\). Then \(m=\frac{124 - 116}{2019 - 2014}\).

Step3: Calculate the slope

\(m=\frac{8}{5}=1.6\)

Answer:

The slope of the line is \(m = 1.6\). The slope represents the rate of change of the number of households with Internet subscription. The value \(1.6\) means that, on average, the number of households with Internet subscription increases by \(1.6\) million per year.