Example 11.20 from Prealgebra, 11.2 Graphing Linear Equations

Graphing Linear Equations: example 11.20

Graph the equation $x = 2 .$ What type of line does it form?

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
The equation has only variable, $x,$ and $x$ is always equal to $2 .$ We make a table where $x$ is always $2$ and we put in any values for $y .$

$x = 2$

$x$ $y$ $(x, y)$

$2$ $1$ $x = 5 .$

$2$ $2$ $(2, 2)$

$2$ $3$ $(2, 3)$

Plot the points and connect them as shown.

The graph is a vertical line passing through the $x$ -axis at $2 .$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Graph the equation: $x = 5 .$

How did it go?