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Equation of Line Parallel to XAxis
The equation of a line parallel to xaxis is of the form y = b and it cuts the yaxis at the point (0, b). This line is parallel to xaxis and is at a perpendicular distance of 'b' units from the xaxis. The slope of the equation of line parallel to xaxis is zero, since it is parallel to the xaxis.
Let us learn more about how to find the equation of line parallel to x axis, the properties of this line, and check a few examples.
How To Find Equation of Line Parallel to XAxis?
The equation of line parallel to xaxis is of the form y = b, and it cuts the yaxis at the point (0, b). Here all the points on this line parallel to the xaxis will have the same y coordinate of b. Further the equation of line parallel to xaxis and cutting the yaxis at point (0, b) is at a perpendicular distance of 'b' units from the xaxis. The distance between two lines, a line which is parallel to the xaxis and the xaxis is b units. This equation of line parallel to xaxis makes an angle of 0º with the xaxis, and hence it has zero slope.
The equation of line parallel to the xaxis and cutting the positive yaxis passes through the first and the second quadrant. And the equation of line parallel to the x axis and cutting the negative yaxis passes through the third and the fourth quadrant of the coordinate axes.
As an example, let us consider the equation of line parallel to xaxis, which is y = 4. This equation y = 4 cuts the yaxis on the positive side at the point (0, 4), and it passes through the first and the second quadrant. Further, the points (1, 4), (2, 4), (5, 4), (2, 4), (3, 4), (5, 4), all of these points falling on this line y = 4.
Properties of Equation of Line Parallel to XAxis
The following are the properties of the equation of line parallel to the yaxis
 The line parallel to xaxis cuts the yaxis at one distinct point.
 The line parallel to the xaxis cuts the yaxis at only one point (0, b) and has the equation y = b.
 The equation of line parallel to xaxis and cutting the xyaxis at the point (0, b) is at a perpendicular distance of 'b' units from the xaxis.
 The y coordinate of all the points lying on the line parallel to the x axis are all of the same value.
 The slope of a line parallel to the xaxis is equal to zero.
 The line parallel to the xaxis is always perpendicular to the yaxis.
 There can be numerous lines drawn parallel to the xaxis.
 The equation of line parallel to xaxis does not have the x variable.
Related Topics
The following topics are helpful to find the equation of line parallel to xaxis.
Examples on Equation of Line Parallel to XAxis

Example 1: What is the equation of line parallel to xaxis and passing through the point (3, 7)?
Solution:
The line parallel to xaxis passes through the point (3, 7).
This line passing through the point (3, 7) and parallel to xaxis, cuts the yaxis at the point (0, 7).
As per the formula the equation of a line parallel to xaxis and cutting the yaxis at the point (0, b) is y = b.
Therefore, the equation of line parallel to the xaxis is y = 7.

Example 2: What is the equation of line parallel to the xaxis and cutting equal intercepts on the yaxis, as the line 7x + 4y  28 = 0?
Solution:
The given equation of the line is 7x + 4y  28 = 0
Further this equation is changed to the intercept form to find the yintercept.
7x + 4y = 28
7x/28 + 4y/28 = 1
x/4 + y/7 = 1
The yintercept of this line is 7, and it cuts the yaxis at the point (0, 7).
The required equation of line parallel to the xaxis and cutting equal intercept on the yaxis also passes through the point (0, 7).
Therefore, the equation of line parallel to xaxis and passing through the point (0, 7) is y = 7.
FAQs on Equation of Line Parallel to XAxis
What Is Equation of Line Parallel to XAxis?
The equation of line parallel to x axis is of the form y = b, and it cuts the yaxis at the point (0, b). This equation of a line y = b is a line parallel to xaxis and is at a perpendicular distance of 'b' units from the xaxis. And every point on this line y = b has the value of y coordinate equal to b.
What Is the Equation of XAxis?
The equation of xaxis is the line which cuts the yaxis at the origin, (0, 0). Hence the equation of a xaxis is y = 0.
What Is the Slope of the Equation of Line Parallel to X Axis?
The slope of the equation of line parallel to x axis is zero. 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 XAxis?
The minimum required criterion to find the equation of line parallel to x axis is any point on the line. The equation of line parallel to x axis and passing through a point (a, b) is the y = b.
What Is the Formula to Find Equation of a Line Parallel to XAxis?
The standard form of the equation of line parallel to x axis is y = b, and it cuts the yaxis at the point (0, b). This can be taken as the formula for equation of a line parallel to x axis.
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