Question

find the slope of the line. what does the slope tell you about the speed of the car? the slope is \square. the speed of the car is \square miles per hour.

Explanation:

Step1: Identify two points on the line

The line passes through the origin \((0, 0)\) and another point, say \((2, 40)\) (by looking at the graph, when \(x = 2\) hours, \(y = 40\) miles).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(2,40)\). Then \(m=\frac{40 - 0}{2 - 0}=\frac{40}{2}=20\).

Answer:

The slope is \(20\). The speed of the car is \(20\) miles per hour.