To find the equation of the linear function that models the relationship between x and y in the table, we first need to calculate the slope (m) using the two given points:
m = (y2 - y1) / (x2 - x1)
m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5
Next, we can plug one of the points and the slope into the point-slope formula:
y - y1 = m(x - x1)
Using the point (11, 58):
y - 58 = 5(x - 11)
Simplify the equation:
y - 58 = 5x - 55
Now solve for y:
y = 5x - 55 + 58
y = 5x + 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 answer
1 answer