Question

graph the line $x = -6$.

Explanation:

Step1: Understand the equation \( x = -6 \)

The equation \( x = -6 \) represents a vertical line. In a coordinate plane, a vertical line has a constant \( x \)-value for all \( y \)-values. So, for any \( y \), the \( x \)-coordinate is \( -6 \).

Step2: Locate \( x = -6 \) on the x - axis

On the given coordinate grid, find the position where \( x=-6 \) on the x - axis. This is a point that is 6 units to the left of the origin (since \( x=-6 \)) along the x - axis.

Step3: Draw the vertical line

Since the line \( x = -6 \) is vertical, we draw a straight line passing through the point \( x=-6 \) on the x - axis and extending infinitely in the positive and negative \( y \)-directions (up and down) on the grid.

To graph \( x=-6 \), we identify the vertical line that passes through \( x = -6 \) on the x - axis. This line is parallel to the y - axis and has an undefined slope. All points on this line have an \( x \)-coordinate of \( -6 \) (e.g., \( (-6,0) \), \( (-6,1) \), \( (-6, -1) \), etc.).

Answer:

The line \( x = -6 \) is a vertical line passing through \( x=-6 \) on the x - axis, extending up and down parallel to the y - axis. (Visually, on the given grid, it is the vertical line through the \( x=-6 \) mark on the x - axis.)