Question

Write the equation of the linear function that models the relationship shown in the table. Enter your answer in y = mx + b
x, y
11, 58
20, 103

Answer 1

First, we need to find the slope (m) of the line using the formula:

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

Using the values from the table, we get:

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

Now we can use the slope-intercept form of a line, y = mx + b, and substitute the slope we just found and one of the points from the table (let's use point (11, 58)):

y = 5x + b

Solving for b, we plug in the x and y values from point (11, 58):

58 = 5(11) + b

b = 58 - 55
b = 3

The equation of the linear function that models the relationship is:

y = 5x + 3