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)
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of the linear function from the given data points, we can first find the slope (m) and then use one of the points to find the y-intercept (b).

First, calculate the slope:
m = (y2 - y1) / (x2 - x1)
m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3

Next, substitute one of the points into the equation y = mx + b to solve for the y-intercept:
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