Question

graph the line $x = -3$.

Explanation:

Step1: Understand the equation \( x = -3 \)

The equation \( x = -3 \) represents a vertical line. In a coordinate plane, for any vertical line \( x = a \), all the points on the line have an \( x \)-coordinate of \( a \), and the \( y \)-coordinate can be any real number. So for \( x = -3 \), we need to find the vertical line that passes through the point where \( x = -3 \) on the \( x \)-axis.

Step2: Locate \( x = -3 \) on the \( x \)-axis

Looking at the given coordinate grid, the \( x \)-axis is the horizontal axis. We find the position where \( x = -3 \). The grid has markings for \( x \)-values: -8, -6, -4, -2, 0, 2, 4, etc. So between -4 and -2, we have \( x = -3 \).

Step3: Draw the vertical line

Since \( x = -3 \) is a vertical line, we draw a straight vertical line passing through the point \( (-3, y) \) for all real values of \( y \). This line will be parallel to the \( y \)-axis and pass through \( x = -3 \) on the \( x \)-axis.

(Note: To actually draw it on the grid, we can plot a few points with \( x = -3 \) and different \( y \)-values, like \( (-3, 0) \), \( (-3, 2) \), \( (-3, -2) \), etc., and then connect them with a straight vertical line.)

Answer:

To graph \( x = -3 \), draw a vertical line passing through \( x = -3 \) on the \( x \)-axis (parallel to the \( y \)-axis, with all points on the line having \( x \)-coordinate -3 and any \( y \)-coordinate).