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 answer

Using the two points (6,16) and (15,43), we can first find the slope:

slope = (43-16)/(15-6) = 2.7

Then we can use the point-slope form of a line to find the equation:

y - 16 = 2.7(x - 6)

Simplifying:

y = 2.7x - 8.2

Therefore, the equation of the linear function that models the relationship shown in the table is y = 2.7x - 8.2.
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