Solve for m (complex solution)
\left\{\begin{matrix}m=\frac{y+b}{x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&y=-b\text{ and }x=0\end{matrix}\right.
Solve for b
b=mx-y
Solve for m
\left\{\begin{matrix}m=\frac{y+b}{x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&y=-b\text{ and }x=0\end{matrix}\right.
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mx-b=y
Swap sides so that all variable terms are on the left hand side.
mx=y+b
Add b to both sides.
xm=y+b
The equation is in standard form.
\frac{xm}{x}=\frac{y+b}{x}
Divide both sides by x.
m=\frac{y+b}{x}
Dividing by x undoes the multiplication by x.
mx-b=y
Swap sides so that all variable terms are on the left hand side.
-b=y-mx
Subtract mx from both sides.
\frac{-b}{-1}=\frac{y-mx}{-1}
Divide both sides by -1.
b=\frac{y-mx}{-1}
Dividing by -1 undoes the multiplication by -1.
b=mx-y
Divide y-mx by -1.
mx-b=y
Swap sides so that all variable terms are on the left hand side.
mx=y+b
Add b to both sides.
xm=y+b
The equation is in standard form.
\frac{xm}{x}=\frac{y+b}{x}
Divide both sides by x.
m=\frac{y+b}{x}
Dividing by x undoes the multiplication by x.
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