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