Have you heard about the straight lines? NO! Let me tell you; straight lines are those lines that are one-dimensional figures with no width. The vertical line is one of the straight lines that goes from top to bottom or up to down. In coordinate geometry, the vertical lines are perpendicular to the axis, namely ‘y’ and are perpendicular to the horizontal lines. Hence, it is also known as standing or standing lines. Some equations are given for these lines; for the vertical lines, the equation given is x = a or -a where ‘x’ is one of the coordinates and ‘a’ denotes the line that intersects with the ‘x-axis. In this article, we shall cover some basic concepts regarding the vertical lines, such as some significant properties of vertical lines, comparison between vertical and horizontal lines, and do a detailed analysis about these topics.
Some Significant Properties of Vertical lines
As mentioned above, a vertical line is one of the types of straight-line which goes from top to bottom or up to down. As with every other notation in mathematics, vertical lines also possess important properties. The following points analyze some significant properties of vertical lines:
- The vertical lines are parallel to the y-axis. Therefore, they do not intercept the y-axis.
- A vertical line is intercepted by the x-axis, perpendicular to the vertical line.
- In order to check whether a relation is a function, vertical lines are used.
- The denominator of a vertical line is always equal to 0. Its slope is always undefined.
- The equation which is given for the vertical line is x = a or -a, where ‘x’ is one of the coordinates and ‘a’ denotes the line which intersects with the ‘x-axis.
What are Straight Lines?
Any line which is infinite in length and does not contain any curve or the lines which are a one-dimensional figure with no width is considered as straight lines. There are various types of straight lines, such as horizontal lines, vertical lines, and slanted or oblique lines. A line that is drawn from left to right or right to left is defined as the horizontal line. The opposite of horizontal lines is known as vertical lines. Slanted lines are those lines that are not horizontal or vertical. The general equation of a straight line is given by ax + by + c = 0 where ‘a’, ‘b’ and ‘c’ are regarded as the constants, whereas ‘x’ and ‘y’ denote the variables. You must remember that straight lines do not have areas and volume but infinite lengths. We shall cover some significant properties of straight lines in the next section.
Some of the Important Properties of a Straight line
A straight is a line that is infinite in length and does not contain any curve. The following points analyze the significant properties of a straight line.
- A straight line is not made up of initial and terminal points—no occurrence of width. Hence, we can never calculate the points which are extreme in a straight line.
- A straight line will never provide the value of its area and volume. It can only be measured by lengths.
- There is only one unique point that passes through the straight lines. In other lines, two points that are unique can be passed.
- It is a one-dimensional plane figure which consists of three types: horizontal lines, vertical lines, and slanted or oblique lines.
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