Question

graph the following equation in a rectangular coordinate system. x = 6 use the graphing tool to graph the line. click to enlarge graph

Explanation:

Step1: Understand the equation

The equation $x = 6$ represents a vertical line. In a rectangular - coordinate system, for any value of $y$, the $x$ - coordinate is always 6.

Step2: Plot points

We can choose several values of $y$ such as $y=- 3,y = 0,y = 3$. The corresponding points are $(6,-3),(6,0),(6,3)$.

Step3: Draw the line

Connect the points to form a vertical line passing through $x = 6$ on the $x$ - axis.

Answer:

Draw a vertical line passing through the point where $x = 6$ on the $x$ - axis. The line will extend infinitely in both the positive and negative $y$ - directions.