Question

x = -2
x = -2
click to select points on the graph.
(graph with x-axis from -10 to 10 and y-axis from -10 to 10, grid lines, and two buttons at the bottom: blue with x = -2 and yellow with x = -2)

Explanation:

Step1: Understand the equation \( x = -2 \)

The equation \( x = -2 \) represents a vertical line in the coordinate plane. A vertical line has an undefined slope and consists of all points where the \( x \)-coordinate is \(-2\), regardless of the \( y \)-coordinate.

Step2: Plot the line on the graph

To graph \( x = -2 \), we find the point on the \( x \)-axis where \( x = -2 \) (which is at \( (-2, 0) \)) and then draw a vertical line through this point. This line will pass through all points with \( x \)-coordinate \(-2\), such as \( (-2, 1) \), \( (-2, -1) \), \( (-2, 2) \), \( (-2, -2) \), etc.

Answer:

To graph \( x = -2 \), draw a vertical line through the point \( (-2, 0) \) (and all other points with \( x \)-coordinate \(-2\)) on the coordinate plane.