Question

graph the following equation in a rectangular coordinate system.
x = 3
use the graphing tool to graph the line.

Explanation:

Step1: Identify the equation type

The equation $x = 3$ is a vertical - line equation. In a rectangular coordinate system, for any value of $y$, $x$ is always 3.

Step2: Determine points on the line

We can choose some arbitrary values of $y$. Let $y = 0$, then the point is $(3,0)$; let $y = 1$, the point is $(3,1)$; let $y=- 1$, the point is $(3, - 1)$.

Step3: Graph the line

Plot the points $(3,0)$, $(3,1)$, $(3, - 1)$ and draw a straight vertical line passing through these points.

Answer:

A vertical line passing through the point $(3,0)$ on the $x$-axis, where for all points on the line $x = 3$ and $y$ can take any real - value.