Question

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 calculate the slope (m) using the two points given in the table:

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

Next, we can choose one of the points (e.g. (6,16)) and plug it into the equation y = mx + b to solve for the y-intercept (b):

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