Question

determine whether the points are collinear or not l(-2,3),m(1,-3),n(5,4)​

Answer 1

Answer:

Gradients of LM and MN are not same, which proves they aren't collinear.

Step-by-step explanation:

Collinear points are points that are on the same line, thus they have same gradient.

keeping this in mind we can take gradient of "LM, MN"... If their gradient is same, we can prove whether they are collinear or not.

GRADIENT OF LM:

m = y2 - y1 / x2 - x1

m = -3 -3  / 1 + 2

m = -6 / 3

m = -2

GRADIENT OF MN:

m = 4 + 3 / 5 - 1

m = 7  / 4

m = 1.75

ANSWER: GRADIENTS OF LM AND MN ARE NOT SAME, WHICH MEANS THEY ARE NOT COLLINEAR.