Slope and y-intercepts Quick Check

2 of 52 of 5 Items
Question
Use the table to answer the question.

x y
2.6 −6
3.2 3
Determine the rate of change of the linear function given as a table of values.

(1 point)
Responses

m=15
m equals 15

m=−5
m equals negative 5

m=0.067
m equals 0.067

m=−15
m equals negative 15

1 answer

To determine the rate of change (slope) of the linear function, we need to calculate the change in y divided by the change in x.

Change in y = 3 - (-6) = 9
Change in x = 3.2 - 2.6 = 0.6

Slope (m) = Change in y / Change in x = 9 / 0.6 = 15

Therefore, the rate of change of the linear function given in the table is m = 15.

Correct response: m=15