write equation using function notation 2x-8y=-8

Function notation uses 'f(x)' in place of 'y'.

First solve the equation for y and then replace the 'y' with 'f(x)'.

For this problem:

Solve for y:      2x - 8y = -8

Remove the 2x from the left side by subtracting 2x from both sides:

                       2x - 2x - 8y = -8 - 2x

                                  - 8y = -8 - 2x

Remove the -8 from the left side by dividing both sides by -8:

                                -8y / -8y = (-8 - 2x) / -8

                                           y = (-8 - 2x) / -8

Then replace the 'y' with 'f(x)':

                                          f(x) = (-8 - 2x) / -8

This can be simplified:  ( -8 - 2x ) / -8    =   -8 / -8 - 2x / -8    1 + ¼x

                                         f(x) =  ¼x + 1