# Graphing Linear Equations by Creating a Table of Coordinates

In this video we look at how to graph the equation y = 2x + 3. This is a linear equation, since when it is graphed it will form a straight line. The video provides a detailed explanation of how to graph the solution by first creating a table of coordinates.

Morgan had $x$ dollars at the beginning of the day. He spent $y$ dollars on clothes. At the end of the day he had $5% dollars left. Write an equation to represent this situation and create a graph to show the possible values for the amount he had at the start and how much he spent. #### Solution: The equation to solve this is$\color{blue}{x-y=5}\$.
$$\begin{array}{c|c|c|c} x & x-y=5 & y & \color{blue}{(x,y)}\\ \hline 20 & 20-y=5 & 15 & \color{blue}{(20,15)}\\ \hline 30 & 30-y=5 & 25 & \color{blue}{(30,25)}\\ \hline 35 & 35-y=5 & 30 & \color{blue}{(35,30)}\\ \hline 48.50 & 48.50-y=5 & 43.50 & \color{blue}{(48.50,43.50)}\\ \hline \end{array}$$