I'm writing an angled tile system, and my implementation is to have a starting height and an ending height inside the tile.
The starting and ending height allow me to get the length of the angle and the angle in degrees using atan2.
For collision against the angled tiles I give the tiles a collection of points along the line, and as a bounding box intersects any of a tile's slope points it will move the box's y position to that point.
This implementation works fine for 45 degree tiles, however with other degrees I don't know how to create the points on the line.
What algorithm could I use to space the points out along the line when they are not in a perfect 1 to 1 ratio angle? (e.g. 17 degrees instead of a nice 45 degrees)
EDIT: Here's a way to interpret my question perhaps more academically:
Given a length of a line and its angle, and an arbitrary number of points, find an algorithm that will space the points out among the line that will as closely resemble the angle.