# How do you find a standard form equation for the line with (4,5) ; parallel to the x-axis?

Aug 29, 2017

See a solution process below:

#### Explanation:

Any line parallel to the $x$-axis is a horizontal lines. The rule for horizontal lines is for each and every value of $x$, $y$ is the same.

So, for this problem, for each and every value of $x$, $y = 5$

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

We can convert $y = 5$ to standard form as:

$\textcolor{red}{0} x + \textcolor{b l u e}{1} y = \textcolor{g r e e n}{5}$