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
To find the equation of the linear function in y = mx + b form, we need to find the values of m and b.
To find the value of m (the slope), we can use the formula:
m = (change in y) / (change in x)
(change in y) = 103 - 58 = 45
(change in x) = 20 - 11 = 9
m = 45 / 9 = 5
To find the value of b (the y-intercept), we can substitute the values of x and y from one of the points into the equation:
Using the first point (11, 58):
y = mx + b
58 = 5(11) + b
58 = 55 + b
Subtracting 55 from both sides:
58 - 55 = b
3 = b
Therefore, the equation of the linear function that models the relationship shown in the table is:
y = 5x + 3