Question

1. the graph shows the number of kilometers gina swims. what is the slope of the line and what does it mean?

Explanation:

Step1: Select two points on the line

Let's choose \((0,0)\) and \((2,8)\) from the graph.

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

Substitute \(x_1 = 0,y_1=0,x_2 = 2,y_2 = 8\) into the formula: \(m=\frac{8 - 0}{2 - 0}\)

Step3: Calculate the slope

\(m=\frac{8}{2}=4\)

The slope \(m = 4\) means that Gina swims at a rate of 4 kilometers per hour.

Answer:

The slope of the line is \(4\), and it means Gina swims \(4\) kilometers per hour.