Question

Prove that the points (1, 2), (4, –1) and (–2, 5) are collinear

Answer 1

Step-by-step explanation:

hope this would help you

Answer 2

Answer:

We have given points :

A ( 1 , 2 ) , B ( 4 , - 1 ) and C ( 2 , 5 ).

In order to prove that points are colinear if we show their slope are equation then it'll be proved.

We know :

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope of AB :

= > ( - 1 - 2 ) / ( 4 - 1 )

= > ( - 3 ) / ( 3 )

= > - 1

Now slope of BC :

= > ( 5 - ( - 1 ) ) / ( - 2 - 4 )

= > ( 6 ) / ( - 6 )

= > - 1

Since slopes are equal.

Hence proved!