The idea of intercept it is used in the field of algebra . The concept refers to the intersection of a line with the ordinate axis .
Before moving forward with the definition, we need to review several notions. The Cartesian coordinates Are the straight which, when crossed perpendicularly, allow place a point in space or on a plane .
To vertical Cartesian coordinate It is called tidy . He Edge of ordered , therefore, is the vertical coordinate axis. The horizontal Cartesian coordinate Meanwhile, it is called abscissa , while the horizontal coordinate axis is the abscissa shaft .
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 a line crosses the axis and (the ordinate axis) at the point r (0, r ): in this case, the ordinate at the origin of the line is r .
It talks about the pending-ordered form at origin to refer to a particular representation of linear equations , also called first degree equations . These equations they are equalities formed by subtractions and sums of a variable at the first power.
Its structure is as follows:
y = sx + t
It is important to note that s and t are real numbers , being s the slope and t the ordered to the origin. It can be said that the line intersects the ordinate axis in (0, t) .
Knowing the ordinate at the origin, it is simple to find the equation of the line. Keep in mind that, beyond the position , the values of x they are always equal to 0 on the axis and . To the right of the axis and they are positive, while on the left they are negative.
In this way, if a line has a slope 5 that intersects the axis and on the point t (0, 8) , your equation will be y = 5x + 8