Question

The graph shows the number of laps that Jan runs as her coach times her.

What is the slope of the line and what does it mean in this situation?

The slope of the line is(blank)

This means that Jan runs(blank) laps every (blank)

Answer 1

the slope of the line is +2

this means that Jan runs 2 laps every 1 minute

Answer 2

The slope of the line is 2. It means Jan runs 2 laps every minute.

Explanation:

From the given graph it is noticed that the line passing through the points (2,4) and (5,10).

The slope of lines is

`m=(y_2-y_1)/(x_2-x_1)`

The slope of given line is

`m=(10-4)/(5-2)`

`m=(6)/(3)`

`m=2`

The slope of the line is 2.

In the given graph x axis represents the time in min and y-axis represents the laps run. The slope defines the number of laps in each minute.

The slope is 2, it means Jan runs 2 laps every minute.