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 that we have the slope, we can use one of the points from the table (e.g. (11, 58)) and the slope to calculate the y-intercept (b):
58 = 5(11) + b
58 = 55 + b
b = 3
Therefore, the equation of the linear function in y=mx+b form is:
y = 5x + 3
Use the table to answer the question.
x y
11 58
20 103
Write the equation of the linear function that models the relationship shown in the table. Enter your answer in y=mx+b form.
1 answer
1 answer