For Pythagorean triple {3, 4, 5} we have a rational point (3/5, 4/5) on a unit circle.
Show that y = (4/3)x is a radial line of the circle passing through (3/5, 4/5).
Find the equation of the line perpendicular to y = 4/3 x that has (3/5, 4/5) on it. Keep your numbers in fraction form.
This time use a, b, and c in the general slope intercept form for your general answers. We will call the line given by your answer, y = (-a/b)x + (c/b) a "pythagoperp" line. That is a line that passes through a rational point on a unit circle and is perpendicular to a radial line at that rational point. A pythagoperp line is tangent to a unit circle at the rational point of tangency.