Question

graph the linear equation. x = -6 use the graphing tool to graph the linear equation. click to enlarge graph

Explanation:

Step1: Identify the type of line

The equation \(x = - 6\) represents a vertical line. In a two - dimensional coordinate system, for a vertical line, the \(x\) - coordinate is constant for all values of \(y\).

Step2: Plot points

We can choose any values for \(y\). For example, when \(y = 0\), the point is \((-6,0)\); when \(y = 2\), the point is \((-6,2)\); when \(y=-2\), the point is \((-6, - 2)\).

Step3: Draw the line

Connect the points. Since \(x=-6\) for all \(y\) values, we draw a straight vertical line passing through \(x = - 6\) on the \(x\) - axis.

Answer:

Draw a vertical line passing through the point \((-6,0)\) on the \(x\) - axis. The line will be parallel to the \(y\) - axis and all points on the line will have an \(x\) - coordinate of \(-6\).