Graph the pair of equations$y=2x$and $y=2$in the same rectangular coordinate system.

A pair of equations$y=2x$and$y=x$is given.

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

$$\begin{gathered} y=2\left(0\right) \\ y=0 \end{gathered}$$

Next take $x=1$and solve for $y$as shown below:

$$\begin{gathered} y=2\left(1\right) \\ y=2 \end{gathered}$$

At last take $x=2$and solve for $y$as shown below:

$$\begin{gathered} y=2\left(2\right) \\ y=4 \end{gathered}$$

Thus, we get ordered pairs as$(0,0),(1,2),(2,4)$.

The equation $y=2$is a horizontal line of the form $y=b$passing through $y$-axis at $(0,b)$. The equation $y=2$has only one variable $y$and the value of $y$is constant.

The graph is a horizontal line passing through the y-axis at $2$

The tables are created using ordered pairs as shown below:

Table for $y=2$is as:

Table for $y=2x$is as:

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