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
11 58
20 103

1 answer

First, we need to find the slope (m) of the linear function.

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

Now, we need to find the y-intercept (b) by plugging in a point into the following equation:

y = mx + b
58 = 5(11) + b
58 = 55 + b
b = 3

Therefore, the linear function in y=mx+b form is:

y = 5x + 3
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