Solve for m
\left\{\begin{matrix}m=-\frac{r-C}{x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&C=r\text{ and }x=0\end{matrix}\right.
Solve for C
C=mx+r
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mx+r=C
Swap sides so that all variable terms are on the left hand side.
mx=C-r
Subtract r from both sides.
xm=C-r
The equation is in standard form.
\frac{xm}{x}=\frac{C-r}{x}
Divide both sides by x.
m=\frac{C-r}{x}
Dividing by x undoes the multiplication by x.
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