Equation of Line Parallel to X-Axis
The equation of a line parallel to x-axis is of the form y = b and it cuts the y-axis at the point (0, b). This line is parallel to x-axis and is at a perpendicular distance of 'b' units from the x-axis. The slope of the equation of line parallel to x-axis is zero, since it is parallel to the x-axis.
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 X-Axis?
The equation of line parallel to x-axis is of the form y = b, and it cuts the y-axis at the point (0, b). Here all the points on this line parallel to the x-axis will have the same y coordinate of b. Further the equation of line parallel to x-axis and cutting the y-axis at point (0, b) is at a perpendicular distance of 'b' units from the x-axis. The distance between two lines, a line which is parallel to the x-axis and the x-axis is b units. This equation of line parallel to x-axis makes an angle of 0º with the x-axis, and hence it has zero slope.
The equation of line parallel to the x-axis and cutting the positive y-axis passes through the first and the second quadrant. And the equation of line parallel to the x axis and cutting the negative y-axis passes through the third and the fourth quadrant of the coordinate axes.
As an example, let us consider the equation of line parallel to x-axis, which is y = 4. This equation y = 4 cuts the y-axis 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 X-Axis
The following are the properties of the equation of line parallel to the y-axis
- The line parallel to x-axis cuts the y-axis at one distinct point.
- The line parallel to the x-axis cuts the y-axis at only one point (0, b) and has the equation y = b.
- The equation of line parallel to x-axis and cutting the xy-axis at the point (0, b) is at a perpendicular distance of 'b' units from the x-axis.
- 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 x-axis is equal to zero.
- The line parallel to the x-axis is always perpendicular to the y-axis.
- There can be numerous lines drawn parallel to the x-axis.
- The equation of line parallel to x-axis does not have the x variable.
Related Topics
The following topics are helpful to find the equation of line parallel to x-axis.
FAQs on Equation of Line Parallel to X-Axis
What Is Equation of Line Parallel to X-Axis?
The equation of line parallel to x axis is of the form y = b, and it cuts the y-axis at the point (0, b). This equation of a line y = b is a line parallel to x-axis and is at a perpendicular distance of 'b' units from the x-axis. And every point on this line y = b has the value of y coordinate equal to b.
What Is the Equation of X-Axis?
The equation of x-axis is the line which cuts the y-axis at the origin, (0, 0). Hence the equation of a x-axis 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 X-Axis?
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 X-Axis?
The standard form of the equation of line parallel to x axis is y = b, and it cuts the y-axis at the point (0, b). This can be taken as the formula for equation of a line parallel to x axis.