Equations of Linear Functions Practice

To find the equation of the linear function, we first need to calculate 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 that we have the slope, we can use one of the points to find the y-intercept (b). Let's use (11, 58):

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

Therefore, the equation of the linear function is:

y = 5x + 3