To find the equation of the linear function, we first need to calculate the slope (m) using the two points given in the table:
m = (y2 - y1) / (x2 - x1)
m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5
Next, we can choose one of the points to substitute into the equation and solve for the y-intercept (b). Let's use the point (11, 58):
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