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

Question

Philoid · Accepted Answer

If these three points lie on a line, the slope will be equal.

So, slope of A(h, 0) and P(a, b) = Slope of A(h, 0) and B(0, k)

Slope of AP

Slope of AB

Now,

bh = - ka + kh

ak + bh = kh

Dividing both sides by kh, we get,