Question

prove that points (1,-1) (5,2) (9,5) are coleaner

Answer 1

Hola there...

Points are given as:

(1, -1) = (x1, y1)
(5, 2) = (x2, y2)
(9, 5) = (x3, y3)

The points to be collinear it should satisfy the equation;

x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) = 0

Let's put the values and see whether it satisfies the equation or not;

=> 1(2 - 5) + 5(5 + 1) + 9(-1 - 2) = 0

=> 1(-3) + 5(6) + 9(-3) = 0

=> -3 + 30 -27 = 0

=> 30 - 30 = 0

=> 0 = 0

So, the values statisfies the equation therefore the points are collinear.

Hope this helps....:)

Answer 2

$<b>Hope it helps uh$ ✌️❣️