If there are two 2D lines with rational slopes that intersect, must the intersection point have rational co-ordinates?
I'm having a hard time wrapping my head around this and not sure how you prove it?
2026-03-28 12:38:28.1774701508
Rational Coordinates with two intersecting lines.
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Hint: If $y=ax+b$ and $y=cx+d$, then $ax+b=cx+d$.