Question

the graph shows the number of kilometers gina swims. what is the slope of the line and what does it mean? distance swimming distance (km) time (hr) the slope is \boxed{} (type an integer or a simplified fraction)

Explanation:

Step1: Identify two points on line

The line passes through $(0,0)$ and $(3,8)$.

Step2: Apply slope formula

Slope $m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$
$\frac{8 - 0}{3 - 0} = \frac{8}{3}$

Step3: Interpret the slope

Slope represents distance per time, i.e., swimming speed.

Answer:

The slope is $\frac{8}{3}$. This means Gina's swimming speed is $\frac{8}{3}$ kilometers per hour.