Understanding Homogeneous Equations in Coordinate Geometry

[Yatin]

Can anyone please explain to me what is meant by homogenizing an equation in context of coordinate geometry and when to use it?

 

[SteamKing]

Can anyone please explain to me what is meant by homogenizing an equation in context of coordinate geometry and when to use it?

Do you have a reference or citation which provides more information about your question?

 

[HallsofIvy]

Generally, a "homogeneous" equation is one that is equal to 0. In "coordinate geometry" I would think it means changing an equation from, say, "ax+ by= c" to "ax+ by= 0". The graph of the first is a line passing through (c/a, 0) and (0, c/b) and the graph of the second is a line parallel to that through (0, 0).