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

[AI-generated answer — Bot GPT 3.5]

To write the equation of the linear function, we need to find the slope (m) and y-intercept (b) using the given points from the table.

First, we calculate the slope:
m = (y2 - y1) / (x2 - x1)
m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5

Next, we pick one of the points to substitute into the y = mx + b formula to solve for 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 in y = mx + b form is:
y = 5x + 3