x y

6 16
15 43
Write the equation of the linear function that models the relationship shown in the table. Enter the
answer in y=mx+b form.

1 answer

To find the equation of the linear function that models the relationship shown in the table, we need to find the values of m and b in the equation y = mx + b.

Let's calculate the slope (m) first.

m = (change in y) / (change in x)

For the given points (6, 16) and (15, 43), the change in y is (43 - 16) = 27 and the change in x is (15 - 6) = 9.

So, the slope (m) = (27) / (9) = 3.

Now, we can substitute one of the points and the slope into the equation and solve for b.

Let's use the point (6, 16).

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

Therefore, the equation of the linear function is y = 3x - 2.