Question

Use the table to answer the question

x / y
6 / 16
15 / 43

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

First, calculate the slope:

m = (y2 - y1) / (x2 - x1)
m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3

Next, to find the y-intercept (b), we can plug in the values of one of the points into the equation y = mx + b:

Using the point (6, 16):
16 = 3(6) + b
16 = 18 + b
b = -2

Therefore, the equation of the linear function that models the relationship shown in the table is:
y = 3x - 2