Difference Between Line And Line Segment
A line and a line segment are basic geometric shapes in math. A line stretches infinitely in both directions without any stops. It goes on forever and doesn't have a specific length. On the other hand, a line segment is a part of a line that has two definite endpoints. It's limited in length because it only goes from one endpoint to the other.
In summary, a line is endless and doesn't have a length, while a line segment is a piece of a line with two ends and a specific length.
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Definition of Line
A line is a straight, infinitely long path that goes in two opposite directions forever. It's made up of countless points, where any two points can uniquely define the line. You can draw a line on a graph using equations like y = mx + b or by marking two points. In geometry, lines are fundamental for studying shapes and how points relate to them. They're flat, with no thickness or width.
Definition of Line Segment
A line segment is a part of a line that has two endpoints. Unlike a line, it's a finite length with a clear start and finish. Line segments show the distance between two points and can be drawn on a graph by connecting those points with a straight line. In geometry, they're used to study angles, parallel lines, and shapes. Line segments help create more complex figures.
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Graphical representation of line
To draw a line on a graph, we use a coordinate plane. This plane has two perpendicular lines: the xaxis and yaxis, dividing it into four parts called quadrants. Each point on this plane has coordinates (x, y).
To graph a line, we use an equation like y = mx + b. Here, m is the slope of the line, which tells us how steep the line is and which way it goes. The b in the equation is the yintercept, which is where the line crosses the yaxis.
To draw the line, we start by plotting the yintercept on the graph. Then, using the slope, we find another point on the line. By connecting these points with a straight line, we can graphically represent the line on the coordinate plane.
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Graphical representation of line
To show a line segment on a graph, we use a coordinate plane. This plane has two lines crossing each other, called the xaxis and yaxis, dividing it into four parts. Every point on this plane has a unique pair of numbers, called coordinates, which show its position.
To draw a line segment on this graph, we start by knowing its two ends, or endpoints. These endpoints are two specific points on the line. We then draw a straight line between these two points on the coordinate plane. By marking the x and y coordinates of these endpoints and connecting them with a straight line, we can show the line segment accurately on the graph.
In summary, a line segment can be graphically represented on a coordinate plane by connecting its two endpoints with a straight line.
Difference Between Line and Line Segment
A line is a theoretical concept that represents an infinite straight path, while a line segment is a real, physical representation of a portion of that path with defined endpoints and length.
Here is some differences between a line and a line segment in mathematics:










In summary, a line is a onedimensional object that extends infinitely in both directions, while a line segment is a portion of a line with definite length and endpoints.
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Frequently Asked Questions on Difference Between Line And Line Segment
In geometry, a line segment is a piece of a straight line. It starts at one point and ends at another, with every point in between also being on the line. It's like a straight piece of string with no curves. The length of a line segment is just how far it is from one end to the other, measured in a straight line.
A line is a straight path on a flat surface that goes on forever in both directions without stopping. A line segment is a part of a line that has two endpoints and has a specific length.
A square's each side is formed by straight line parts called line segments. Line segments are also seen in everyday things. For instance, a ruler's side is straight with clear endpoints.
What is a line, line segment, and ray? A line is a straight path that goes on forever in both directions. It has no endpoints. A ray starts at one endpoint and goes on forever in one direction. A line segment is a part of a line that has two endpoints.