Question

show that the points A(-5,4),B(-2,-2) and C(3,-12) are collinear using distance formula
​

Answer 1

The three points are "not collinear".

Step-by-step explanation:

We have,

AB = $\sqrt{(- 2 + 5)^{2} + (- 2 - 4)^{2} }$

=  $\sqrt{(3)^{2} + (- 6)^{2} }$

= 9 + 36 = 45

BC = $\sqrt{(3 + 2)^{2} + (- 12 + 2)^{2} }$

=  $\sqrt{(5)^{2} + (- 10)^{2} }$

= 25 + 100 = 125

And AC = $\sqrt{(3 + 5)^{2} + (- 12 - 4)^{2} }$

= $\sqrt{(8)^{2} + (- 16)^{2} }$

= 64  + 256 = 320

∴ AB + BC = 45 + 125 = 170 ≠ AC

Hence, three points are not collinear.

Answer 2

Answer:

it is not collinear

Step-by-step explanation:

...........