Graph the line x = 1 on the axes shown below.
Understand the Problem
The question is asking how to graph the line defined by the equation x = 1 on a coordinate plane. This is a request to identify the type of line, which is vertical since it represents all points where x is equal to 1.
Answer
Vertical
Answer for screen readers
The type of line is Vertical.
Steps to Solve
- Identify the Equation Type
The equation $x = 1$ represents all points where the x-coordinate is 1. This means the line is vertical at this value.
- Determine Line Characteristics
Since the x-coordinate is fixed at 1, the y-coordinate can take any value. Thus, all points on this line will be of the form $(1, y)$ where $y$ is any real number.
- Graph the Line
On the coordinate plane, you will draw a vertical line that intersects the x-axis at 1 and extends infinitely in both the positive and negative directions along the y-axis.
- Select the Type of Line
Since the line remains vertical, select "Vertical" from the drop-down options provided.
The type of line is Vertical.
More Information
A vertical line like $x = 1$ indicates that every point on this line has the same x-coordinate but varying y-coordinates. This is a fundamental concept in coordinate geometry.
Tips
- Confusing vertical lines with horizontal lines. Remember, vertical lines have a constant x-value and varying y-values.
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