Question

Find the relationship between x and y if the points a(x,y), b(-5,7) and c(-4,5) are collinear

Answer 1

If the points are collinear then their area must be equal to zero.

So, the relation come to be

2x+y+3=0

@Altaf

Answer 2

Answer:

Step-by-step explanation:

If A, B, C are collinear then area of triangle ABC = 0.

Area of triangle = 1/2 |(x1(y2-y3)+x2(y3-y1)+x3(y1-y2)| where x1,x2,x3,y1,y2,y3 are

coordinates of

A,B,C. =

1/2|(x(7 - 5) - 5(5 - y) -4(y - 7)| = 0

=> 2x - 25 + 5y - 4y + 28 = 0

∴ 2x + y + 3 = 0