Question

show that points P(-2,3), Q(1,2), R(4,1) are collienear

Answer 1

We can do it by finding the slopes from P, Q and R and by checking whether they're same or not.

Find the slopes of any two points each.

Slope of P and Q,

$\frac{3-2}{-2-1} = \frac{1}{-3} = -\frac{1}{3}$

Slope of Q and R,

$\frac{2-1}{1-4}=\frac{1}{-3}=-\frac{1}{3}$

Slope of P and R, (not necessary because two slopes are found)

$\frac{3-1}{-2-4}=\frac{2}{-6}=-\frac{1}{3}$

Okay, 3 slopes are equal.

∴ P, Q and R are collinear.

Hope this may be helpful.

Thank you. Have a nice day. :-)

#adithyasajeevan

Answer 2

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