Equations of Linear Functions Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Use the table to answer the question.

x y
11 58
20 103
Write the equation of the linear function that models the relationship shown in the table. Enter your answer in y=mx+b form.

(1 point)

Answer 1

To find the equation of the linear function that models the relationship shown in the table, we can first calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Let's take the points (11, 58) and (20, 103) from the table.

m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5

Now that we have the slope, we can choose one of the points to plug into the equation y = mx + b to solve for b. Let's use (11, 58):

58 = 5(11) + b
58 = 55 + b
b = 58 - 55
b = 3

Therefore, the equation of the linear function that models the relationship shown in the table is:

y = 5x + 3.