Definition of Straight Line

In the coordinate geometry system, the definition of straight line states that a line with no curves and has a zero width can be extended to both sides until infinity. In addition, this study also focuses on the properties of straight lines in the Cartesian coordinate geometry system in mathematics. A concept of this straight line originating from the ancient mathematician provides an effective platform to solve different problems while using coordinate geometry. Moreover, this study also depicts different types of straight line and equations of straight line in the coordinate geometry in mathematics. Furthermore, it also highlights curve definition in the coordinate geometry. 

Discussion 

Definition of straight line 

The definition of straight line states that a line is an object in coordinate geometry, which is considered a zero width object that can be extended on both axes. A straight line is just a line, which has no width or curve. In the coordinate geometry system, a straight line is considered as a set of all points between and extending beyond two points of the plane or axis. A straight line is denoted by any two points on the length of the point on the axis. Straight line can be horizontal and vertical as well as diagonal on the plane of the axis in the coordinate geometry. Straight lines can be alone as well as in pairs. Pair of straight lines continues its path parallel to each other on the plane or axis of the coordinate geometry system. Straight line can be extended in two dimensions until infinity. Furthermore, a straight line is the collection of points in the coordinate system in mathematics. A straight line makes  180°, a straight-line angle with another plane or axis of the coordinate geometry. 

What are the properties of a straight line?

A straight line is considered as a collection of points on a specific plane or axis in the coordinate geometry system in mathematics. Different properties of the straight line states that it has only one dimension and length as well as it extends in two directions until infinity. Straight line can be horizontal and vertical as well as diagonal in nature as it depends on the view spot of the observer. The horizontal straight line comes under the line, which starts, from left to right as well as right to left as it is based on the spotting view of the observer. Furthermore, a straight line can be vertical which starts from rising above from the particular axis as well as below from a particular axis or plane. In addition, a straight line can be diagonal as it means that it has an angle with the certain axis or plane of the coordinate geometry system. Moreover, the straight line may be in pairs or alone  on the plane of the axis and a pair of straight lines can intersect to each other at any random angle. The two straight lines intersect each other perpendicularly at 90° as it creates a diagonal straight line on the plane or axis in the coordinate geometry.  

Difference between straight line and curve 

A straight line is the succession of points that are situated in a particular line of the plane or axis and in other ways in order to go from one point to another point is called a straight line on any plane or axis in coordinate geometry. In accordance to define the curve line in Cartesian geometry, points of the line that change their directions randomly. Furthermore, the shortest distance adjoining the two points on the plane or axis are called straight lines  in case, whereas if the line is not the shortest distance between two points then it is considered as a curved line on the plane or axis of coordinate geometry. In addition, a certain point determines a curved line as it changes its direction or path from in different directions. Similarly, a straight line is the continuation of several points aligned in the same direction on the same plane or axis in the coordinate geometry. Curves are technically lines that have different shapes on the plane or axis whereas curve lines are also considered as a trace left by moving points on the plane or axis. Curve lines are defined as that it is not straight but is bent at a certain angle regarding specified axis or plane. 

Conclusion

In order to define the straight line or its property in the coordinate geometry, the entire report illustrates different aspects of the properties of the straight lines. Furthermore, it included differences between straight line and curve lines and it is used in Cartesian geometry. In addition, this report also illustrates the equation of straight lines in the coordinate geometry system in mathematics. These equations of straight lines help to derive the relevant formula regarding the coordinate geometry.