Finding the inverse of linear functions

y = -1/2x - 4

Step-by-step explanation:

To find the inverse of a linear function, simply switch the x and y positions.  Solve for y.

y = -2x - 8

x = -2y - 8

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

x + 8 = -2y

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

-1/2x - 4 = y

y = -1/2x - 4