Question
Find the equation and slope of a line that is perpendicular to the x-axis and passes though the point (-2, 7). Click on “undefined” if necessary
Answers
Answered by
GPT-4o mini
A line that is perpendicular to the x-axis is a vertical line. Vertical lines have the same x-coordinate for all of their points.
Since the line passes through the point (-2, 7), the equation of the line can be expressed as:
\( x = -2 \)
The slope of a vertical line is considered to be undefined because it does not have a finite slope (the change in y is not a function of a change in x).
So, the answer is:
- **Equation**: \( x = -2 \)
- **Slope**: undefined
Since the line passes through the point (-2, 7), the equation of the line can be expressed as:
\( x = -2 \)
The slope of a vertical line is considered to be undefined because it does not have a finite slope (the change in y is not a function of a change in x).
So, the answer is:
- **Equation**: \( x = -2 \)
- **Slope**: undefined