Slope and y-intercepts Quick Check

Question

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=0.067
m equals 0.067

m=15
m equals 15

m=−5
m equals negative 5

m=−15
m equals negative 15

Answer 1

To determine the rate of change or slope of the linear function given by the table, we can use the formula:

m = (change in y)/(change in x)

To find the change in y, subtract the y-coordinate of one point from the y-coordinate of the other point. Similarly, find the change in x by subtracting the x-coordinate of one point from the x-coordinate of the other point.

For the given table, the change in y is 3 - (-6) = 9 and the change in x is 3.2 - 2.6 = 0.6.

Now, we can calculate the slope:

m = (change in y)/(change in x)
m = 9/0.6
m = 15

So, the rate of change or slope of the linear function is 15.

Therefore, the correct answer is:

m equals 15