Question

Show that the points P(3,4), Q(-3,1) and R(-5,0) are collinear

Answer 1

Step-by-step explanation:

We need to prove that the points P, Q and R are collinear.

We know that collinear points have area which is equal to 0

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

Area of PQR = 1/2 [ 3 (1-0) + (-3)(0-4) + (-5)(4-1) ]

= 1/2 ( 3 + 12 - 15)

= 1/2 ( 15 - 15)

= 1/2 ( 0 )

= 0

Therefore the points PQR are collinear..

Hope my answer helped you :-)