Question

If f ( x ) is a linear function, f ( − 1 ) = 2 , and f ( 5 ) = − 5 , find an equation for f ( x ) . f ( x ) =__

show your work!

Answer 1

Explanation:

Let's first find the slope

(-5-2)/(5--1) = -7/6

the equation should be

`y = ( - 7)/(6) x + c`

To find c, we replace X with -1 and Y with 2

c= 5/6

So the equation is

`y = ( - 7)/(6) x + (5)/(6)`

And if you multiply everything by 6 you get

6y = -7x +5