To graph the equations x = 0 and x = 1 on a coordinate plane, you will begin by understanding what these equations represent. Both of these are equations of vertical lines.
Graphing x = 0: The line x = 0 is a vertical line that runs along the y-axis. This means that for every point on this line, the x-coordinate is always 0. Thus, points like (0, -3), (0, 0), and (0, 4) will lie on the line.
Graphing x = 1: Similarly, the line x = 1 is also a vertical line, but it is located one unit to the right of the y-axis. For every point on this line, the x-coordinate is always 1. Therefore, points such as (1, -2), (1, 0), and (1, 5) will be on this line.
Steps to Graph:
- Draw a set of axes on your graph paper or plotting software.
- For x = 0, draw a straight vertical line that intersects the y-axis at 0.
- For x = 1, draw another straight vertical line that intersects the x-axis at 1.
In conclusion, the graphs of x = 0 and x = 1 will appear as two vertical lines, one along the y-axis and the other parallel to it, exactly one unit to the right. This visual representation makes it easy to understand where these equations lie in relation to each other on the Cartesian plane.