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Equation of lines parallel to x and y axis Video Lecture - Class 9

FAQs on Equation of lines parallel to x and y axis Video Lecture - Class 9

1. What is the equation of a line parallel to the x-axis?

Ans. A line parallel to the x-axis has a constant y-coordinate, so its equation will be of the form y = k, where k is a constant.

2. What is the equation of a line parallel to the y-axis?

Ans. A line parallel to the y-axis has a constant x-coordinate, so its equation will be of the form x = k, where k is a constant.

3. How can we determine if two lines are parallel to the x-axis or y-axis?

Ans. To determine if a line is parallel to the x-axis, we check if its slope is zero. If the slope is zero, the line is parallel to the x-axis. Similarly, to determine if a line is parallel to the y-axis, we check if its slope is undefined.

4. Can a line be parallel to both the x-axis and y-axis simultaneously?

Ans. No, a line cannot be parallel to both the x-axis and y-axis simultaneously. If a line is parallel to the x-axis, its slope is zero, and if it is parallel to the y-axis, its slope is undefined. Since zero and undefined are different values, a line cannot have both slopes at the same time.

5. How do parallel lines to the x-axis and y-axis appear on a graph?

Ans. Parallel lines to the x-axis appear as horizontal lines on a graph, while parallel lines to the y-axis appear as vertical lines. These lines extend infinitely in the respective directions without any change in the y-coordinate (for lines parallel to the x-axis) or x-coordinate (for lines parallel to the y-axis).

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Jan 07, 2025 Last updated

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