Solve y=mx-2

$$y = m x - 2$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=\frac{y+2}{x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&y=-2\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$mx-2=y$$

Add 2 to both sides.

$$mx=y+2$$

The equation is in standard form.

$$xm=y+2$$

Divide both sides by x.

$$\frac{xm}{x}=\frac{y+2}{x}$$

Dividing by x undoes the multiplication by x.

$$m=\frac{y+2}{x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{y+2}{m}\text{, }&m\neq 0\\x\in \mathrm{C}\text{, }&y=-2\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$mx-2=y$$

Add 2 to both sides.

$$mx=y+2$$

Divide both sides by m.

$$\frac{mx}{m}=\frac{y+2}{m}$$

Dividing by m undoes the multiplication by m.

$$x=\frac{y+2}{m}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{y+2}{x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&y=-2\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$mx-2=y$$

Add 2 to both sides.

$$mx=y+2$$

The equation is in standard form.

$$xm=y+2$$

Divide both sides by x.

$$\frac{xm}{x}=\frac{y+2}{x}$$

Dividing by x undoes the multiplication by x.

$$m=\frac{y+2}{x}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{y+2}{m}\text{, }&m\neq 0\\x\in \mathrm{R}\text{, }&y=-2\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$mx-2=y$$

Add 2 to both sides.

$$mx=y+2$$

Divide both sides by m.

$$\frac{mx}{m}=\frac{y+2}{m}$$

Dividing by m undoes the multiplication by m.

$$x=\frac{y+2}{m}$$