Two points are sufficient.
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How many letters do you need to name a minor arc?
one point can form a line! horizontally or vertically... but a line doesn't need any points.
You need four of them in order to construct a square.
For a line to be parallel to the y-axis it must be a vertical line. therefore in order for the line to pass through the point (-1,5) you need to only be concerned with the x value of the point and your line would be x=-1.
A polyhedron is any multi-faced solid. In order to know how many pairs, you need to know how many total faces.