What is the inverse of the linear equation y=2x+4?

To find the inverse of an equation simply switch the X and y coordinates and solve for the new Y coordinate.

Y = 2x + 4
X = 2y + 4
X - 4 = 2y
X-4/2 = 2y/2

Y = X - 4/2.

The inverse is an equation that shows 'x' in terms of 'y'.
The new equation will say
                                          x = something .

We just have to take the given equation and solve it for 'x'.

                                      y          =  2x + 4
Subtract  4
from each side:               y - 4     =  2x

Divide each side by  2 :    (y-4)/2 = x