Question

Hello, in this assignment, i have to create a geogebra applet demonstrating the equations and graphs of planes and lines. Please, submit my solution as a link to applet if possible. Assignment is "Two intersecting lines on a plane". Thanks in advance.

Answer 1

A line contains more than just two points. A line is made up of infinitely many points. It is however true that a line is determined by 2 points, namely just extend the line segment connecting those two points. Similarly a plane is determined by 3 non-co-linear points. In this case the three points are a point from each line and the point of intersection. We are not creating a new point when the lines intersect, the point was already there. This is not the same thing as saying that there are 5 points because there are two from each line and the point from their intersection.