To find the equation of the linear function, we need to determine the values of m and b in the equation y = mx + b.
We can start by finding the slope (m) using the formula:
m = (change in y) / (change in x)
So, m = (103 - 58) / (20 - 11) = 45 / 9 = 5.
Now, substitute one of the points (x, y) into the equation and solve for b:
58 = 5(11) + b
58 = 55 + b
b = 58 - 55
b = 3.
Therefore, the equation of the linear function that models the relationship shown in the table 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 point)
1 answer