Answer
Yes, this equation is linear
The inverse function is y = -$\frac{x-6}{2}$
Work Step by Step
This equation is a linear equation
The equation states that y = 6 - 2x
This can be written as y = -2x + 6
This is the same format as y = mx + c
Therefore, it can be said that this equation plots a linear graph
A general rule is that all linear equations are one-to-one functions, and by identifying that an equation is linear, you know that that specific equation is also a one-to-one function.
To find the inverse of the equation, the swap y for x and then re-arrange the equation to make y the subject as seen in the attached image.