Use the table to answer the question.
X Y
6 16
15 43
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)
To find the equation of the linear function, we need to determine the values of the slope (m) and the y-intercept (b).
To find the slope (m), we can use the formula:
m = (change in y)/(change in x)
Let's calculate the change in y:
Change in y = 43 - 16 = 27
Let's calculate the change in x:
Change in x = 15 - 6 = 9
Now, we can calculate the slope (m):
m = (27)/(9) = 3
Next, let's find the y-intercept (b) by substituting the values of x and y from one of the points on the table into the equation y = mx + b:
Using the point (6, 16):
16 = 3(6) + b
16 = 18 + b
b = 16 - 18
b = -2
Therefore, the equation of the linear function that models the relationship shown in the table is y = 3x - 2.