Q. 3.12 - Intermediate Algebra

Question

Graph the equations in the same rectangular system.

$y=3 and y=3x$

Step-by-Step Solution

Answer

The required graph is 

Step 1. Given Information

The given equations are $y=3 and y=3x$

Step 2. Calculation

For both the equations we will create the table to organise the coordinates.

For equation $y=3$, the coordinate of $y$ will remain same as 3 and we can put any random values in $x$coordinate.

Thus, the required points are shown below in the table.

x	y
1	3
2	3

Next, for equation $y=3x$, we will substitute $x=1,2$ and find the values of $y$coordinate.

$$\begin{gathered} y=3\left(1\right) \\ y=3 \\ And \\ y=3\left(2\right) \\ y=6 \end{gathered}$$

Thus, the required points are shown below in the table.

x	y
1	3
2	6

Step 3. Graph

On plotting the points of both the equations in the rectangular system, we get, the required graph.