Question

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

Answer 1

First, we need to find the slope (m) of the linear function using the points (11,58) and (20,103):

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

Next, we substitute the slope (m) and one of the points into the point-slope formula to find the y-intercept (b). Let's use the point (11,58):

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

Therefore, the equation of the linear function is:

y = 5x + 3