Question

If f is a linear function for which f(3)=-11 and f(-3)=19, find f(8)

Answer 1

-36

Explanation:

A linear function has a constant slope.

This means no matter the points you use to calculate the slope that the slope will always remain the same.

`(f(-3)-f(3))/(-3-3)=(f(8)-f(3))/(8-3)`

`(19-(-11))/(-6)=(f(8)-(-11))/(5)`

`(30)/(-6)=(f(8)+11)/(5)`

`-5=(f(8)+11)/(5)`

Multiply both sides by 5:

`-25=f(8)+11`

Subtract 11 on both sides:

`-36=f(8)`

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