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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. How To Find Equation of Line Parallel to 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). 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. 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. Properties of Equation of Line Parallel to Y AxisThe following are the properties of the equation of line parallel to the y-axis
Related Topics The following topics are helpful to find the equation of line parallel to y-axis.
Examples on Equation of Line Parallel to Y Axis
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FAQs on Equation of Line Parallel to Y AxisThe equation of line parallel to y axis is of the form x = a, and it cuts the x-axis at the point (a, 0). 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. And every point on this line x = a has the value of x coordinate equal to 'a'. What Is the Equation of Y-Axis?The equation of y-axis is the line which cuts the x-axis at the origin, (0, 0). Hence the equation of a y-axis is x = 0. What Is the Slope of the Equation of Line Parallel to Y Axis?The slope of the equation of line parallel to y axis is undefined. 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. What Is Required to Find Equation of Line Parallel to Y Axis?The minimum required criterion to find the equation of line parallel to y axis is any point on the line. The equation of line parallel to y axis and passing through a point (a, b) is the x = a. What Is the Formula to Find Equation of a Line Parallel to Y Axis?The standard form of the equation of line parallel to y axis is x = a, and it cuts the x-axis at the point (a, 0). This can be taken as the formula for equation of a line parallel to y axis.
We will learn how to find the equation of y-axis and equation of a line parallel to y-axis. Let AB be a straight line parallel to y-axis at a distance a units from it. Then, clearly, all points on the line AB have the same abscissa a. Thus, AB can be considered as the locus of a point at a distance a from y-axis and all points on the line AB satisfy the condition x = a. Equation of a Line Parallel to y-axisThus, if P(x, y) is any point on AB, then x = a. Hence, the equation of a straight line parallel to y-axis at
a distance a from it is x = a. The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it. Or Let P (x, y) be any point on the y-axis. Then clearly, for all position of P we shall the same abscissa 0 or, x = 0. Therefore, the equation of y-axis is x = 0. If a straight line is parallel and to the left of x-axis at a distance a, then its equation is x = -a. Solved examples to find the equation of y-axis and equation of a line parallel to y-axis: 1. Find the equation of a straight line parallel to y-axis at a distance of 3 units on the left hand side of y-axis. Solution: We know that the equation of a straight line is parallel and to the left of x-axis at a distance a, then its equation is x = -a. Therefore, the equation of a straight line parallel to y-axis at a distance of 3 units on the left hand side of y-axis is x = -3 2. Find the equation of a straight line parallel to y-axis at a distance of 20 units on the right hand side of y-axis. Solution: We know that the equation of a straight line is parallel and to the right of x-axis at a distance a, then its equation is x = a. Therefore, the equation of a straight line parallel to y-axis at a distance of 20 units on the right hand side of y-axis is x = 20 ● The Straight Line 11 and 12 Grade Math From Equation of a Line Parallel to y-axis to HOME PAGE
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