Deduce the number of intersections that the curve
(2y-5x)/(x+3y)=(5x-3)/4
has with the coordinate axis
I would say 2.
The thing that confuses me is your "opinion" on what can be regarded as a point. There are two limits in that function thta I didn't include, because they are technically undefinable.
Here's the graph: https://www.desmos.com/calculator