Question

Below are two sets of points. Find the slopes between the two points and compare them. Choose the statement that is true about the values of the slopes.

Set #1
(2, 4) and (1, 1)
Set #2
(4, 6) and (2, 7)

The slope of Set #1 is smaller than the slope of Set #2.

The slope of Set #1 is larger than the slope of Set #2.

The slope of Set #1 is the same as the slope of Set #2.

None of the statements above describes slopes of sets shown.

Answer 1

Do you know the slope formula?

Answer 2

The slope is the rate of change. It can be calculated as the change in y values divided by the change in x values.

Set 1
Change in y values = 4 - 1 = 3
Change in x values = 2 - 1 = 1
Slope = 3/1 = 3

Set 2
Change in y values = 6 - 7 = -1
Change in x values = 4 - 2 = 2
Slope = -1/2

Compare 3 and -1/2 and you have your answer.

Answer 3

Thank you