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