what is the slope of a line that is parallel to the x-axis?

Equation of Line Parallel to Ten-Axis

The equation of a line parallel to x-axis is of the grade y = b and information technology 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 nearly how to find the equation of line parallel to x axis, the properties of this line, and check a few examples.

one.	How To Find Equation of Line Parallel to X Axis?
two.	Properties of Equation of Line Parallel to X Axis
3.	Examples on Equation of Line Parallel to Ten Axis
4.	Practise Questions
5.	FAQs on Equation of Line Parallel to X Axis

How To Observe Equation of Line Parallel to Ten-Centrality?

The equation of line parallel to ten-axis is of the grade y = b, and it cuts the y-axis at the point (0, b). Hither all the points on this line parallel to the x-axis will take the same y coordinate of b. Further the equation of line parallel to x-axis and cut the y-centrality at bespeak (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 10-axis is b units. This equation of line parallel to x-centrality makes an bending of 0º with the 10-axis, and hence it has zero slope.

The equation of line parallel to the ten-axis and cutting the positive y-axis passes through the start and the 2nd quadrant. And the equation of line parallel to the 10 axis and cutting the negative y-centrality passes through the third and the quaternary quadrant of the coordinate axes.

Every bit an instance, permit u.s.a. consider the equation of line parallel to ten-axis, which is y = iv. This equation y = 4 cuts the y-centrality on the positive side at the point (0, 4), and it passes through the first and the second quadrant. Further, the points (1, iv), (ii, 4), (v, iv), (-two, 4), (-3, iv), (-five, 4), all of these points falling on this line y = 4.

Properties of Equation of Line Parallel to X-Axis

The following are the backdrop of the equation of line parallel to the y-axis

• The line parallel to ten-axis cuts the y-axis at i distinct betoken.
• The line parallel to the x-axis cuts the y-axis at only one bespeak (0, b) and has the equation y = b.
• The equation of line parallel to 10-axis and cutting the xy-axis at the indicate (0, b) is at a perpendicular distance of 'b' units from the x-centrality.
• The y coordinate of all the points lying on the line parallel to the x -centrality are all of the same value.
• The gradient of a line parallel to the x-axis is equal to zero.
• The line parallel to the x-centrality is always perpendicular to the y-centrality.
• 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 10-axis.

• X and Y Coordinates
• Coordinate Geometry
• Gradient
• Bespeak Gradient Grade
• Gradient Intercept Course
• Equation of a Line

Examples on Equation of Line Parallel to X-Axis

1. Example 1: What is the equation of line parallel to x-axis and passing through the point (3, 7)?

   Solution:

   The line parallel to x-axis passes through the indicate (3, 7).

   This line passing through the point (3, 7) and parallel to x-axis, cuts the y-axis at the indicate (0, vii).

   As per the formula the equation of a line parallel to x-axis and cut the y-axis at the point (0, b) is y = b.

   Therefore, the equation of line parallel to the x-axis is y = vii.

2. Example 2: What is the equation of line parallel to the 10-axis and cut equal intercepts on the y-axis, 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 y-intercept.

   7x + 4y = 28

   7x/28 + 4y/28 = 1

   x/4 + y/7 = one

   The y-intercept of this line is seven, and it cuts the y-centrality at the point (0, 7).

   The required equation of line parallel to the x-axis and cut equal intercept on the y-axis likewise passes through the point (0, 7).

   Therefore, the equation of line parallel to x-axis and passing through the point (0, vii) is y = 7.

go to slidego to slide

Breakdown tough concepts through simple visuals.

Math volition no longer be a tough subject, especially when you understand the concepts through visualizations.

Book a Free Trial Grade

Do Questions on Equation of Line Parallel to Ten-Axis

become to slidego to slide

FAQs on Equation of Line Parallel to X-Centrality

What Is Equation of Line Parallel to Ten-Axis?

The equation of line parallel to ten centrality 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 ten-axis and is at a perpendicular altitude of 'b' units from the ten-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 10-axis is the line which cuts the y-centrality at the origin, (0, 0). Hence the equation of a 10-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 10 centrality is nil. The line parallel to y axis is at an bending of 90º to the x - axis and the gradient 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 notice the equation of line parallel to x axis is whatsoever point on the line. The equation of line parallel to ten 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 betoken (0, b). This tin be taken as the formula for equation of a line parallel to ten centrality.

monroecionew.blogspot.com

Source: https://www.cuemath.com/geometry/equation-of-line-parallel-to-x-axis/

Share this post