Use the table to answer the question

X. Y
6 16
15 43
Write the equation of the linear function that models the relationship relationship shown in the table. Enter your answer in why equals MX plus B form.

1 answer

To find the equation of the linear function that models the relationship shown in the table, we can first find the slope (M) using the formula M = (Y2 - Y1) / (X2 - X1).

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

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

Now that we have the slope, we can find the y-intercept by substituting one of the points into the equation y = MX + B. Let's use 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