Posizione Reciproca di Due Rette nel Piano Cartesiano (Forma Esplicita)

In this video, we'll learn how to determine the relative positions of two lines in the Cartesian plane when they are written in explicit form. The subjects of our analysis will therefore be two lines both written in explicit form, and therefore, if this is not the case, we will need to rewrite them in that form. Regarding the transition from implicit to explicit form, I'll provide the link to the video dedicated to this topic: "From the Equation of a Line in Implicit Form to its Explicit Form and Vice Versa" -    • Dall'Equazione di una Retta in Forma Impli...  . We will exclude vertical lines from our discussion, at least for now. The two lines can be: intersecting parallel and distinct parallel and coinciding intersecting and perpendicular We will analyze each of these cases, understanding what relationships must exist between the slopes (m1 and m2) and the ordinates at the origin (q1 and q2) of the two lines. We will help our understanding with some numerical examples that will help us better consolidate the ideas.