To find the equation of the linear function that models the relationship shown in the table, we need to find the slope (m) and the y-intercept (b) of the line.
First, let's find the slope (m) using the formula:
m = (change in y) / (change in x)
m = (103 - 58) / (20 - 11) = 45 / 9 = 5
Now, let's find the y-intercept (b) by substituting the values of one of the points into the equation y = mx + 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 this equation of the linear function that models the relationship shown for the table. Enter your answer in y = mx + b form. (1 point)
1 answer
1 answer