M = \frac{ { y }_{ A } - { y }_{ B } }{ { x }_{ A } - { x }_{ B } }
Solve for M
M=-\frac{y_{B}-y_{A}}{x_{A}-x_{B}}
x_{A}\neq x_{B}
Solve for x_A
\left\{\begin{matrix}x_{A}=\frac{Mx_{B}+y_{A}-y_{B}}{M}\text{, }&y_{A}\neq y_{B}\text{ and }M\neq 0\\x_{A}\neq x_{B}\text{, }&M=0\text{ and }y_{A}=y_{B}\end{matrix}\right.
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