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Chapter 13: Q. 20WE (page 533)

In Exercises 20 and 21 show that points P, Q, and R are collinear by showing that PQ and OR have the same slope.

P(-1, 3) Q(2, 7) R(8, 15)

Short Answer

Expert verified

We have proved that the pointsP,QandRare collinear.

Step by step solution

01

Step-1 – Given

The given points areP鈭�1,3,Q2,7andR8,15

02

Step-2 – To determine

We have to show that points P,QandRare collinear by showing thatPQ炉 andQR炉 have the same slope.

03

Step-3 – Calculation 

We鈥檒l use the slope formula:

m=y2鈭�y1x2鈭�x1

The given points areP鈭�1,3,Q2,7andR8,15

Slope ofPQ炉 :

y2鈭�y1x2鈭�x1=7鈭�32鈭�鈭�1=43=1.34

Slope ofQR炉 :

y2鈭�y1x2鈭�x1=15鈭�78鈭�2=86=1.34

Since, the slope ofPQ炉 and QR炉are equal, so the pointsP,QandR are collinear.

.

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