To graph the equation x = 5 in a rectangular coordinate system, you begin by understanding what the equation represents. This equation indicates that for every point on the graph, the x-coordinate is fixed at 5.
1. **Identify the axis**: In a rectangular coordinate system, we have the x-axis (horizontal) and the y-axis (vertical).
2. **Plot points**: Since x is always 5, you can pick any value for y. For example:
- If y = 0, the point is (5, 0).
- If y = 1, the point is (5, 1).
- If y = -1, the point is (5, -1).
- And so on…
3. **Draw the line**: After you have plotted several points like (5, 2), (5, -2), etc., you will notice that all these points line up vertically along the x-coordinate of 5. Connect these points with a straight line. This line will extend infinitely in both the upward and downward direction.
Therefore, the equation x = 5 produces a vertical line located at x = 5 on the graph.