If three points (h, 0), (a, b) and (0, k) lie on a line, show that

Question

Philoid · Accepted Answer

If the points A (h, 0), B (a, b) and C (0, k) lie on a line

Slope of AB = Slope of BC

⇒ - ab = (k-b) (a-h)

⇒ - ab = ka- kh –ab +bh

⇒ ka +bh = kh

Dividing both the sides by kh

⇒

⇒ Hence proved.