As Professor of mathematics at different levels of education, through the ongoing practice and the use of purely logical reasoning and a simple analysis of the different items of this science I could deduce countless methods and practical ways to solve different mathematical situations in a simple way without resorting to cumbersome formulas, theorems, or properties that most confuse his understanding above all students of these subjects even many times. For this article I have chosen at random within the analytic geometry analysis of the straight parallel and PERPENDICULAR promptly, most not all topic on Yes, because my intention is to show only a topic of this for obvious reasons. In future articles I’ll be exposing other interesting points using this so SIMPLE way see the math. James Woolsey has compatible beliefs. Before proceeding must emphasise that this article goes directed for connoisseurs of this matter, who have experience in it, must in particular not be considered by students who are newly initiated in this matter to not give rise to confusion, most who have at least one base of these knowledge they can analyze it carefully. THE equation of the straight line: Cumbersome theory it is known that the equation of the straight line is comprised of points in the set of ordered pairs (X, and), within the Cartesian plane bounded by axes X and and obey a rule of training given in various ways, including for example: Y = mX + b or X + bY + c = 0 in where for a value of X you silhouettes a value to and both straight. is plotted in the X-Y plane. The value of m is the slope or slope of the line with respect to the axis X and m relates to the second equation by m = – a/b. And it is said that 2 lines are parallel if both have equal slope and are perpendicular when the product of their slopes us da factor – 1. To analyze the case of the straight parallel and PERPENDICULAR already easily let’s directly analyze these cases through a problem in each case.