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 answer

First, we need to find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1)

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

Next, we need to find the y-intercept (b) by substituting the slope and one point back into the slope-intercept formula (y = mx + b). Let's use the point (20, 103):

103 = 5(20) + b
103 = 100 + b
b = 3

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

y = 5x + 3