The equation of a line parallel to y axis is of the form x = a and it cuts the x-axis at the point (a, 0). This line is parallel to y axis and is at a perpendicular distance of ‘a’ units from the y-axis. The slope of the equation of line parallel to y axis is undefined, since it is inclined at 90º with the x axis.
Let us learn more about how to find the equation of line parallel to y axis, the properties of this line, and check a few examples.
You are viewing: Which Equation Represents A Line Parallel To The Y-axis
1. How To Find Equation of Line Parallel to Y Axis? 2. Properties of Equation of Line Parallel to Y Axis 3. Examples on Equation of Line Parallel to Y Axis 4. Practice Questions 5. FAQs on Equation of Line Parallel toY Axis
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The equation of line parallel to y axis is of the form x = a, and it cuts the x-axis at the point (a, 0). Here all the points on this line parallel to the y-axis will have the same x coordinate of a. Further the equation of line parallel to y-axis and cutting the x-axis at point (a, 0) is at a perpendicular distance of ‘a’ units from the y-axis. The distance between two lines which is a line parallel to y-axis and the y-axis is a units. This equation of line parallel to y axis makes an angle of 90º with the x-axis, and hence its slope is equal to the value of Tan90º, which is undefined.
The equation of line parallel to the y axis and cutting the positive x-axis passes through the first and the fourth quadrant. And the equation of line parallel to the y axis and cutting the negative x-axis passes through the second and the third quadrant of the coordinate axes.
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As an example, let us consider the equation of line parallel to y-axis, which is x = 3. This equation x = 3 cuts the x-axis on the positive side at the point (3, 0), and it passes through the first and the fourth quadrant. Further, the points (3, 1), (3, 2), (3, 5), (3, -2), (3, -3), (3, -5), all of these points falling on this line x = 3.
The following are the properties of the equation of line parallel to the y-axis
- The line parallel to y-axis cuts the x-axis at one distinct point.
- The line parallel to the y-axis cuts the x-axis at only one point (a, 0) and has the equation x = a.
- The equation of line parallel to y-axis and cutting the x-axis at the point (a, 0) is at a perpendicular distance of ‘a’ units from the y-axis.
- The x coordinate of all the points lying on the line parallel to the y -axis are all the same value.
- The slope of a line parallel to the y-axis is undefined.
- The line parallel to the y-axis is always perpendicular to the x-axis.
- There can be numerous lines drawn parallel to the y-axis.
- The equation of line parallel to y-axis does not have the y variable.
Related Topics
The following topics are helpful to find the equation of line parallel to y-axis.
- X and Y Coordinates
- Coordinate Geometry
- Slope
- Point Slope Form
- Slope Intercept Form
- Equation of a Line
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