# Show that the inverse of any linear function f(x)=mx+b, where mneq 0, is also a linear function. Give the slope and y-intercept of the graph of f-1 in terms ofm and b.

Show that the inverse of any linear function $f\left(x\right)=mx+b$, where $m\ne 0$, is also a linear function. Give the slope and y-intercept of the graph of f-1 in terms ofm and b.
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Bentley Leach
$y=mx+b$
$x=my+b$
$my=x-b$
$y=\frac{x}{m}-\frac{b}{m}$
Slope: $\frac{1}{m}$
y-intercept: $\frac{-b}{m}$