Question

prove that the point (2,-2),(-3,8) and (-1,4) are collinear

Answer 1

if given points gain area of triangle is zero then all three points are collinear
now (2,-2) (-3,8) and (-1,4)
area of triangle =1/2 {2 (8-4)-3 (4+2)-1 (-2-8)}=1/2 {8-18 +10}=0
hence all three points are collinear

Answer 2

Answer:

Let A(2, -2), B(-3, 8) and C(-1, 4)

Step-by-step explanation:

Now,area of triangle

1/2 [2(8-4)-3(4+2)-1(-2-8) ]

1/2[8-18+10]

1/2(18-18)=0