Question

Identify the slope for the given line. What does the slope represent?

Answer 1

slope = 25

The slope is the rate of change. The slope represents how the y-axis values change compared to the numbers in the x-axis.

Explanation:

(4,100) and (1,25)

Slope = (100 - 25)/(4-1) = 75/3 = 25

Answer 2

Slope = 25

The slope represents the acceleration.

Explanation:

To identify the slope of the given line, we can substitute the two given points, (1, 25) and (4, 100), into the slope formula:

`\textsf{Slope}=(y_2-y_1)/(x_2-x_1)=(100-25)/(4-1)=(75)/(3)=25`

Therefore, the slope of the given line is 25.

The slope of the line in this context represents the rate of change of velocity with respect to time, which is the acceleration. In other words, it tells you how much the velocity is changing (in miles per hour) for every one-hour change in time. In this specific case, the slope of 25 means that the velocity is increasing by 25 miles per hour every hour.