The function that represents the relation h is y = 8x - 56
How to determine the function that represents h?
From the question, we have the following parameters that can be used in our computation:
The table of values
A linear function is represented as
y = m(x - x₁) + y₁
Where
m = slope
The slope is calculated using
m = (y₂ - y₁)/(x₂ - x₁)
Using the points on the table of values, we have
m = (120 - 40)/(22 - 12)
m = 8
So, we have
y = 8(x - x₁) + y₁
Using the point (7, 0), we have
y = 8(x - 7) + 0
Expand
y = 8x - 56
Hence, the function that represents h is y = 8x - 56
Question
The table represents some points on the graph of linear function h
x -9 7 12 22
f(x) -128 0 40 120
Which function represents h?