Question

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

Explanation:

Step1: Analyze the equation type

The equation $x = 3$ is a vertical - line equation. In a rectangular coordinate system, for a vertical line $x=a$, the $x$-coordinate of every point on the line is $a$, and $y$ can take any real - value.

Step2: Determine points on the line

We can choose some arbitrary $y$-values. Let $y=- 2,0,2$. The corresponding points on the line $x = 3$ are $(3,-2),(3,0),(3,2)$.

Step3: Plot the points and draw the line

Plot the points $(3,-2),(3,0),(3,2)$ on the rectangular coordinate system 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 the $x$-coordinate is 3 and $y$ can be any real number.