Question

graph the line $x = -8$.

Explanation:

Step1: Understand the equation \( x = -8 \)

The equation \( x = -8 \) represents a vertical line. In a coordinate plane, a vertical line has an undefined slope and consists of all points where the \( x \)-coordinate is \(-8\), regardless of the \( y \)-coordinate.

Step2: Locate \( x = -8 \) on the graph

On the given coordinate grid, find the vertical line (parallel to the \( y \)-axis) that passes through the point where \( x = -8 \). This is the line that intersects the \( x \)-axis at \( (-8, 0) \) and extends infinitely in the positive and negative \( y \)-directions. To graph it, we can plot two points on this line, for example, \( (-8, 0) \) and \( (-8, 4) \), and then draw a straight vertical line through these points (and beyond).

Answer:

To graph \( x = -8 \), draw a vertical line passing through the point \((-8, y)\) for all real values of \( y \). On the given grid, this line is parallel to the \( y \)-axis and intersects the \( x \)-axis at \((-8, 0)\).