Q22. Graph the equation x = 5 in the rectangular coordinate system.

Background

Topic: Graphs of Linear Equations

This question tests your understanding of how to graph vertical and horizontal lines in the coordinate plane. The equation x = 5 represents a vertical line where every point on the line has an x-coordinate of 5, regardless of the y-value.

Key Terms and Concepts:

• Vertical Line: A line where all points have the same x-value.

• Equation x = a: The graph is a vertical line passing through x = a on the x-axis.

Step-by-Step Guidance

1. Recognize that the equation x = 5 means that for every value of y, x remains 5. This forms a vertical line.

2. On the coordinate plane, locate the point where x = 5 on the x-axis.

3. Draw a straight vertical line passing through x = 5. This line should extend infinitely in both the positive and negative y-directions.

4. Check that the line does not tilt or curve; it should be perfectly vertical and cross the x-axis at x = 5.

Try solving on your own before revealing the answer!