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 = 0.83 (type an integer or a decimal)

Explanation:

Step1: Identify the formula for slope

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

Step2: Assign values from the points

Let \((x_1,y_1)=(2014,118)\) and \((x_2,y_2)=(2019,124)\).

Step3: Substitute into the slope formula

\(m=\frac{124 - 118}{2019 - 2014}=\frac{6}{5}=1.2\)

The slope \(m = 1.2\) means that the number of households with an Internet subscription increases by \(1.2\) million per year.

Answer:

The slope of the line is \(m = 1.2\). This means that the number of households with an Internet subscription increases at a rate of \(1.2\) million per year.