Question

prove that P(-1,0), Q(1,3) and R(5,9) are collinear​

Answer 1

Step-by-step explanation:

Slope of a line = (9-3)/(5-1) = (3-0)/(1+1)

= 6/4 = 3/2

= 3/2

So these three pt. are collinear ots

Answer 2

Step-by-step explanation:

P(-1,0) , Q(1,3) and R(5,9)

Slope of line PQ= [3-0] / [1-(-1)] = (3-0)/(1+1)=3/2

Slope of line QR=(9-3)/(5-1) = 6/4 = 3/2

Slope of line PR= [9-0] /[5-(-1)]= (9-0)/(5+1)=9/6=3/2

The points are said to be collinear if all the pairs of any two points have the same slope.

We can see that,

Slope of PQ=Slope of QR=Slope of PR

Therefore, all the three points P,Q,R are collinear.