Question

X Y
4 38
6 58

Write the equation of the linear function that models the relationship shown in the graph

Answer 1

To find the equation of the linear function that models the relationship shown in the data, we need to find the slope (m) and the y-intercept (b) of the linear function.

First, we find the slope using the formula:

m = (Y2 - Y1) / (X2 - X1)
m = (58 - 38) / (6 - 4)
m = 20 / 2
m = 10

Next, we find the y-intercept by substituting the slope and one of the points (4, 38) into the slope-intercept form of the equation y = mx + b:

38 = 10(4) + b
38 = 40 + b
b = -2

Therefore, the equation of the linear function is:
y = 10x - 2