The idea of ordinate to the origin is used in the field of algebra.
The first step we are going to take before fully entering into the meaning of the term ordered to origin is to know the etymological origin of the two main words that give it shape:
-Ordered, on the one hand, we have to establish that it derives from Latin. Specifically, it emanates from the verb “ordinare”, which can be translated as “put in order” and which is the result of the sum of the following lexical components: the noun “ordo, ordins”, which is synonymous with “order”, and the suffix “-ar”, which is the ending used to form verbs.
-Origin, on the other hand, emanates from Greek. In your case, from the noun “origo”, which is equivalent to “beginning”.
The idea of ordinate to the origin is used in the field of algebra . The concept refers to the intersection of a line with the ordinate axis .
Analysis of the ordinate to the origin
Before moving forward with the definition, we need to review several notions. Cartesian coordinates are the lines that, when crossed perpendicularly, allow a point to be located in space or on a plane .
The vertical Cartesian coordinate is called the ordinate . The ordinate axis , therefore, is the vertical coordinate axis. The horizontal Cartesian coordinate , meanwhile, is called the abscissa , while the horizontal coordinate axis is the abscissa axis .
The ordinate to the origin, in short, is determined from the passage of a line through the vertical coordinate axis (that is, the ordinate axis). Suppose that a line crosses the y axis (the ordinate axis) at the point r ( 0, r ): in this case, the ordinate at the origin of the line is r .
The ordinate to the origin is linked to the intersection of a line and the ordinate axis.
linear equations
We speak of the slope-intercept form to refer to a particular representation of linear equations , also called equations of the first degree . These equations are equalities formed by subtractions and additions of a variable to the first power.
In addition to everything indicated, we cannot ignore that when we have what is a linear equation in the aforementioned slope-intercept form at the origin, it is easy to find its intersections with respect to the "x" axis and also with respect to the "and". Not to mention that it also gives the possibility of representing it graphically.
Its structure is the following:
y = sx + t
It is important to note that s and t are real numbers , with s being the slope and t being the intercept. It can be said that the line intersects the ordinate axis at (0, t) .
Ordinate to the origin and equation of a line
Knowing the ordinate of the origin, it is simple to find the equation of the line. It must be taken into account that, beyond the position , the values of x are always equal to 0 on the y axis. To the right of the y-axis they are positive, while to the left they are negative.
In this way, if a line has a slope 5 that intersects the y axis at the point t (0, 8) , its equation will be y = 5x + 8
In the same way, it is important to know that the aforementioned slope-intercept form is perhaps the most significant of the representations that exist for what linear type equations are. That is considered to have among its advantages that it shows the two most important hallmarks of the straight and also that it is very simple.