To find the equation of the linear function that models the relationship shown in the table, we first need to calculate the slope (m) using the two points given (6,16) and (15,43). The formula for calculating the slope is:
m = (y2 - y1) / (x2 - x1)
m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3
Next, we can choose one of the points to substitute into the slope-intercept form of a linear equation, y = mx + b, to find the y-intercept (b). Let's use the point (6, 16):
16 = 3(6) + b
16 = 18 + b
b = -2
Therefore, the equation of the linear function that models the relationship shown in the table is y = 3x - 2.
Functions Unit Test
11 of 1511 of 15 Items
Question
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)
1 answer
1 answer