1.
Any 3 lines a, b and c intersect and form triangles, in no 2 of them are parallel.
2.
2 lines are parallel only if their slopes are equal.
3.
if the equation of a line l is given in the form y=
mx+t, then m, the coefficient of x, is the slope of that line.
4.
so given lines a, b, c with equations:

if

, then the lines intersect, forming thus a triangle.
5.
let the 3 lines be: