A point which lies on at least one ordinary line is called an ordinary point, or sometimes a regular point.
Ordinary Point
See also
Ordinary Line, Regular Point, Special Point, Sylvester GraphExplore with Wolfram|Alpha
References
Guy, R. K. "Unsolved Problems Come of Age." Amer. Math. Monthly 96, 903-909, 1989.Referenced on Wolfram|Alpha
Ordinary PointCite this as:
Weisstein, Eric W. "Ordinary Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/OrdinaryPoint.html