x y

Question

11 58
20 103
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) and the y-intercept (b).

First, find the slope (m) using the formula:

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

Using the points (11, 58) and (20, 103):

m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5

Now, we have the slope (m = 5).

To find the y-intercept (b), we can substitute one of the points into the equation y = mx + b.

Let's use the point (11, 58):

58 = 5(11) + b
58 = 55 + b
b = 58 - 55
b = 3

Now that we have the slope (m = 5) and the y-intercept (b = 3), we can write the equation of the linear function in the form y = mx + b:

y = 5x + 3