What are the characteristics of the graph of the equation 𝑥=−2x=−2?

The graph of the equation x = -2 is a vertical line that crosses the x-axis at the point (-2, 0). This is because for every value of y, the x-coordinate is always -2.

Here are the steps to graph the equation:

1. Draw a set of axes on a piece of graph paper. Label the x-axis and the y-axis.

2. Locate the point (-2, 0) on the x-axis. This is where the line will cross the x-axis.

3. Draw a vertical line through the point (-2, 0). This line represents all the points where x = -2.

4. The line does not slope in any direction, because the value of x does not change as y changes. This is a characteristic of vertical lines.

5. The line extends infinitely in both the positive and negative y-directions, because there is no restriction on the value of y in the equation x = -2.

So, the characteristics of the graph of the equation x = -2 are that it is a vertical line that crosses the x-axis at the point (-2, 0) and extends infinitely in both the positive and negative y-directions.