Answer
See below.
Work Step by Step
The slope-intercept form of a line with equation
$y=mx+b$
tells us the slope of the line (m) and the y-intercept (b).
Finding the inverse:
Set $y=f(x)$. Interchange xand y
$y=mx+b$
$x=my+b$
... solve for y
$x-b=my$
$y=\displaystyle \frac{1}{m}x-\frac{b}{m}$
... replace y with $f^{-1}(x)$
$f^{-1}(x)=\displaystyle \frac{1}{m}x-\frac{b}{m}$
which is a linear function, whose graph is a line
with slope $\displaystyle \frac{1}{m}$ and y-intercept $-\displaystyle \frac{b}{m}$.
