Question

if the point (1,2) (-5,6) and (p,-2 ) are collinear, then p =
please answer this correctly and by using distance formula..
show the detailed explanation of it in step by step process...​

Answer 1

Answer:

Given:

A(1,2), B(-5,6) C(p,-2)

Since they are collinear.

Area of ∆ABC=0

1/2|x1(y2-y3)+x2(y3-y1)+x3(y1-y2)|=0

1/2|1(6+2)-5(-2-2)+p(2-6)|=0

1/2|8+5(4)-4p|=0

|8+20-4p|=0

|28-4p|=0

28-4p=0

4p=28

p=28/4=7

So, The value of p is 7.

Step-by-step explanation:

Hope it helps you.....