Question

Show that the points A(0,1) B(2,3) C(3,4) are collinear

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

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the points are col-linear the area must be = 0

(0,1) ( 2,3)  ( 3,4)

x₁=0 , y₁ =1

x₂ = 2  ,y₂=3

x₃ = 3, y₃=4

area of the triangle = 1/2 (x₁ [y₂-y₃]+x₂[y₃-y₁]+x₃[y₁-y₂])

                               = 1/2( 0 * (3-4) + 2*(4-1) + 3(1-3))

                                 = 1/2[ 2*3+3*-2]

                                     = 1/2 [ 6 - 6]

                                        = 1/2*0

                                             = 0

these points are col linear

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