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

Question

X : Y
11 : 58
20 : 103

Answer 1

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

m = (y2 - y1) / (x2 - x1)
m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5

Next, pick one of the points (11, 58) or (20, 103) and plug it into the slope-intercept form equation y = mx + b to solve for the y-intercept (b).

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

Therefore, the equation of the linear function is:

y = 5x + 3

Answer 2

Write the equation of the linear function that models the relationship shown in the table. Enter your answer in y = mx + b form.
X : Y
-3 : -1
2 : 4

Answer 3

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

m = (y2 - y1) / (x2 - x1)
m = (4 - (-1)) / (2 - (-3))
m = 5 / 5
m = 1

Next, pick one of the points (-3, -1) or (2, 4) and plug it into the slope-intercept form equation y = mx + b to solve for the y-intercept (b).

-1 = 1(-3) + b
-1 = -3 + b
b = -1 + 3
b = 2

Therefore, the equation of the linear function is:

y = x + 2