In mathematics, a Line is a straight one-dimensional figure that grows infinitely in both directions. Additionally, a Line has no thickness and is usually said to be a linear equation. Moreover, Lines are basic in geometry as they represent the shortest distance between two points. Read on to learn more about how we define lines in maths, a line segment, examples, and the 9 Types of Lines.
What is a Line Segment?
A Line segment is a part of a line that has two distinctive endpoints. However, unlike a line, a Line segment does not grow infinitely. It has a definite beginning and end.
Thus, here you can clearly identify the endpoints of a line.
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Example of a Line
Now take a look at this Line that is described by the equation y = 2x+3. Moreover, this equation defines a Line that grows infinitely in both the positive and negative directions of the x-axis and y-axis.
Here is the graph of the Equation y = 2x+3. You can see that this Line has a slope of 2, which means that for every unit increase in x, y increases by 2 units. Moreover, the y-intercept is 3, which means the line crosses the y-axis at the point (0, 3).
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9 Types of Line
Furthermore, here are the 9 Types of Line:
Straight Line
A Straight line is the most basic type of line that extends in one direction without curving. In addition, it maintains a consistent direction throughout.
Oblique Line
In addition, an Oblique line is any line that is neither horizontal nor vertical. It slants or tilts at an angle.
Curved Line
A Curved line bends and changes direction continuously. Moreover, unlike straight lines, Curved lines do not have a continuous direction.
Vertical Line
A Vertical line is a line that runs up and down, parallel to the y-axis. In addition, it has an undefined slope.
Horizontal Line
A Horizontal line runs left to right, hence parallel to the x-axis. Moreover, it has a slope of zero.
Intersecting Lines
Intersecting lines are two or more lines that cross each other at a single point. Therefore, the point where they intersect is called the point of Intersection.
Parallel Lines
Parallel lines are two or more lines that run side by side and never meet, no matter how far they extend. They have the same slope but different y-intercepts.
Perpendicular Line
Perpendicular lines are two lines that intersect at a Right angle which is 90 degrees. Moreover, the product of their slopes is -1.
Transversal Line
A Transversal line is a line that intersects two or more other lines at distinct points. In addition, Transversals are usually studied in the context of Parallel lines, where they create corresponding and alternate Interior angles.
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