Question

Plot the points P(-1,-1), Q ( 2,3) and R (8,11). Show that they are collinear.

Answer 1

Steps:
1 ) If Points P, Q and R are collinear, then they lie in a same line.


Slope of line PQ,
m(PQ) =
$\frac{( 3 - ( - 1))}{(2 - ( - 1))} = \frac{4}{3}$

Equation of line PQ, Slope form :
$(y - 3) = \frac{4}{3} (x - 2) \\ = > 3y - 4x - 1 = 0$

2) Point, R = (8,11) where x = 8,y = 11
Then,
$= > 3(11) - 4(8) - 1 \\ = > 33 - 32 - 1 = 0$
=> It satisfies line PQ
=> It lies on line PQ
=> P, Q, R are collinear

Answer 2

Hope answer the question

Have a nice day