# How do you find a standard form equation for the line with ( -10 , 4) Slope: m is undefined?

Feb 15, 2017

See the entire solution explanation below:

#### Explanation:

If the slope is undefined then this is a vertical line where $x$ is always the same value, $- 10$ in this case, for any and all values of $y$. The equation for this line is:

$x = - 10$

The standard form of a linear equation is: $\textcolor{red}{A} x + \textcolor{b l u e}{B} y = \textcolor{g r e e n}{C}$

where, if at all possible, $\textcolor{red}{A}$, $\textcolor{b l u e}{B}$, and $\textcolor{g r e e n}{C}$are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

Therefore, for this problem the standard form of the equation is:

$\textcolor{red}{1} x + \textcolor{b l u e}{0} y = \textcolor{g r e e n}{- 10}$