# How do you write an equation in standard form for the horizontal and vertical line through (-1, -8)?

Jul 22, 2017

See a solution process below:

#### Explanation:

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

Horizontal Line

A horizontal line has the same value for $y$ for each and every value of $x$. Therefore, because the $y$ value for the point in the problem is $- 8$ the equation for this line is:

$y = - 8$

To put this in standard format, the coefficient for $x$ is $0$ and the coefficient for $y$ is $1$ giving:

$\textcolor{red}{0} x + \textcolor{b l u e}{1} y = \textcolor{g r e e n}{- 8}$

Vertical Line

A horizontal line has the same value for $x$ for each and every value of $y$. Therefore, because the $x$ value for the point in the problem is $- 1$ the equation for this line is:

$x = - 1$

To put this in standard format, the coefficient for $y$ is $0$ and the coefficient for $x$ is $1$ giving:

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