Question

find the value of p for which the given points are collinear A(3,2),B(4,p)and (5,3)​

Answer 1

Step-by-step explanation:

The given points A,B and C are collinear

Therefore,

x₁(y₂-y₁) + x₂(y₃-y₁) + x₃(y₁-y₂) = 0

3(p-3) + 4(3-2) + 5(2-p) = 0

3p-9 + 12-8 + 10-5p = 0

-9 + 12 -8 + 10 = 5p - 3p

5 = 2p

/[p = 5/2 or 2.5]\

Hope this helps you!