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, we first need to find the slope (m) and y-intercept (b).

First, calculate the slope:
m = (change in y) / (change in x) = (103-58) / (20-11) = 45 / 9 = 5

Next, use one of the points to calculate the y-intercept:
Using the point (11, 58):
58 = 5(11) + b
58 = 55 + b
b = 3

Now, plug the slope and y-intercept into the y=mx+b form:
y = 5x + 3

Therefore, the equation of the linear function is y = 5x + 3.