The minimum required criterion to find the equation of line parallel to y axis is any point on the line. What Is Required to Find Equation of Line Parallel to Y Axis? The line parallel to y axis is at an angle of 90º to the x - axis and the slope of this line is tan90º, which is undefined. The slope of the equation of line parallel to y axis is undefined. What Is the Slope of the Equation of Line Parallel to Y Axis? The equation of y-axis is the line which cuts the x-axis at the origin, (0, 0). And every point on this line x = a has the value of x coordinate equal to 'a'. This equation of a line x = a is a line parallel to y-axis and is at a perpendicular distance of 'a' units from the y-axis. 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). The following topics are helpful to find the equation of line parallel to y-axis.įAQs on Equation of Line Parallel to Y Axis What Is Equation of Line Parallel to Y Axis? The equation of line parallel to y-axis does not have the y variable.There can be numerous lines drawn parallel to the y-axis.The line parallel to the y-axis is always perpendicular to the x-axis.The slope of a line parallel to the y-axis is undefined.The x coordinate of all the points lying on the line parallel to the y -axis are all the same value.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 line parallel to the y-axis cuts the x-axis at only one point (a, 0) and has the equation x = a.The line parallel to y-axis cuts the x-axis at one distinct point.The following are the properties of the equation of line parallel to the y-axis Properties of Equation of Line Parallel to Y Axis 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. 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.Īs an example, let us consider the equation of line parallel to y-axis, which is x = 3. The equation of line parallel to the y axis and cutting the positive x-axis passes through the first and the fourth quadrant. 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. 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. Here all the points on this line parallel to the y-axis will have the same x coordinate of a. How To Find Equation of Line Parallel to Y Axis?
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