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 = 1.6 (type an integer or a decimal.)

Explanation:

Step1: Recall the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are two points on the line.

Step2: Identify two points from the graph

From the graph, we can take two points \((2014,117)\) and \((2019,124)\). Here \(x_1 = 2014,y_1=117,x_2 = 2019,y_2 = 124\).

Step3: Substitute values into the slope formula

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Step4: Interpret the slope

The slope \(m = 1.4\) means that the number of households with an Internet subscription increases by \(1.4\) million per year.

Answer:

The slope of the line is \(m = 1.4\). This means that the number of households with an Internet subscription increases at a rate of \(1.4\) million per year.