In the following exercises, graph each pair of equations in the same rectangular coordinate system.

$y=5xandy=5$

Consider the given information.

$y=5x\mathrm{and}y=5$

First, take x=0 and solve for y as shown below:

$\begin{array}{rcl}y& =& 5\left(0\right)\\ & =& 0\end{array}$

Next, take x=2 and solve for y as:

$\begin{array}{rcl}y& =& 5\left(2\right)\\ & =& 10\end{array}$

At last take, x=1and solve for y as:

$\begin{array}{rcl}y& =& 5\left(1\right)\\ & =& 5\end{array}$

Thus, the point is$(0,0),(1,5),(2,10)$

The equation $y=5$is a horizontal line of the form $y=b$passing through the y-axis at $(0,b)$. The equation y=5 has only one variable y and the value of y is constant.

The graph is a horizontal line passing through the y-axis at 5.

The tables are created using ordered pairs as shown below:

The table for y= 5 is as:

The table for y=5x is as:

Both equations are plotted on the same rectangular coordinate system by plotting the points from the tables and drawing the lines joining the points in the graph as shown below: