# How do you write the standard form of a line given undefined slope and passes through the point (4, 7)?

Apr 27, 2017

See the solution process below:

#### Explanation:

If the slope of the line is undefined then by definition this is a vertical line. Vertical lines have the equation $x = a$ where $a$ is the same value for $x$ for each and every value of $y$. The point in this problem has a value for $x$ of $4$. Therefore the equation for this line is:

$x = 4$

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, the Standard Form of the linear equation for this problem is:

$\textcolor{red}{1} x + \textcolor{b l u e}{0} y = \textcolor{g r e e n}{4}$