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

Answer 1

To find the equation of the linear function, we first need to find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (6,16) and (15,43):

m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3

Now that we have the slope, we can use one of the points and the slope to find the y-intercept (b). Let's use the point (6,16):

16 = 3(6) + b
16 = 18 + b
b = -2

Therefore, the equation of the linear function is:

y = 3x - 2