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Determine whether following points are c...

Determine whether following points are collinear.
`P(2, -5), Q(1,-3), R(-2,3)`

Text Solution

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`P(2,-5),Q(1,-3)` and `R(-2,3)`
Slope of line `PQ=(-3-(-5))/(1-2)`
`=(-3+5)/(-1)`
`=2/(-1)=-2`
Slope of lien `QR=(3-(-3))/(-2-1)`
`=(3+3)/(-3)`
`=6/(-3)=-2`
Slope of lien `PQ=` slope of lien Qr and Q is the common point.
`:.` points P,q and R are collinear.
Points `P(2,-5),Q(1,-3)` and `R(-2,3)` are collinear.
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