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