How do you graph the line  y = - 3?

May 25, 2017

See solution below.

Explanation:

Note that for any value of $x$ you choose, the equation $y = - 3$ tells you that you have a $y$-value of $- 3$. In table form, you get the following

$\left.\begin{matrix}\underline{x} & \underline{y} \\ - 2 & - 3 \\ - 1 & - 3 \\ \textcolor{w h i t e}{a} 0 & - 3 \\ \textcolor{w h i t e}{a} 1 & - 3 \\ \textcolor{w h i t e}{a} 2 & - 3 \\ \textcolor{w h i t e}{a} 3 & - 3\end{matrix}\right.$

When we plug these values into a graph we get the following

Next step is to simply connect the dots with a straight line, like so: