In the field of geometry , a line is a indefinite and continuous succession of points . The adjective straight , meanwhile, refers to what It has no angles or curves .
A straight line present a single dimension and develops in a same direction . It has an infinite amount of points and therefore it can extend indefinitely in both senses .
Next to point and at flat , the line is one of the fundamental entities of geometry. This means that it lacks its own definition: it is understood through the description of other elements of similar or similar characteristics.
The straight line is also mentioned as the distance more short that exists between two points of the same plane. Usually a straight line is named by a lowercase letter: straight to , straight b , etc.
When a straight line is cut, two arise semi-straight . Each half-line is formed by all the points located next to the fixed point where the cut occurred (called origin ). In this way, a half-line develops indefinitely in only one direction, unlike the line.
The two semi-lines arising from the cut of a straight line are qualified as opposite . These half-lines share the origin .
At colloquial language , the idea of a straight line is linked to the absence of turns or detours . For example: "The young man entered the room and advanced straight to the bar", "The vehicle headed straight for the house and ended up hitting the door".
One of the most common mistakes in younger students is the assumption that the straight line has a length finite This is due to several reasons: on the one hand, it is difficult for a child to understand the concept of "infinity", since we have no example at hand to observe it, but we must accept it in theory; On the other hand, it influences that the graphic representation of this concept does have a beginning and an end.
This leads us to confuse the straight line with the segment and the semi-straight line, for example, since all three are represented in similar ways on the school board . Years later, we move this misunderstanding into our daily lives as adults, and we spread it involuntarily in everyday speech. In the field of mathematics , this distortion outside the academic field is very common.
The utility of the straight line concept is also a kind of mystery, but we can use it for various tasks, ranging from the simple location of several objects in a drawing to the complex process of identifying three-dimensional objects that cannot be seen by the camera in a video game or movie.
In principle we can study the equation what the analytic geometry , the branch of mathematics that focuses on the deep study of the figures, their areas, distances, volumes, points of division and angles of inclination, among others of their many properties. The equation of the straight line, therefore, is as follows: y = m x + b .
Variables x and and they are components of a Cartesian plane , a class of spelling coordinates that are used to graphically represent certain concepts of mathematics. In this particular case, we must imagine two axes, X and AND where said variables They serve us to establish a point.
On the other hand is the m , which is known as the slope of the straight , since it affects its inclination with respect to the Cartesian axes. The b finally it's called independent term and is the point at which the line crosses the vertical axis.