Question

6. Using slopes determine which of the following sets of three points
are collinear.
(1) (5,-2), (7,6), (0, -2)​

Answer 1

Given ,

The three points are

• A(5 , -2)
• B(7 , 6)
• C(0 , -2)

We know that , the slope of line is given by

$\boxed{ \tt{m = \frac{ y_{2} -y_{1} }{x_{2} -x_{1} } }}$

and if three points are collinear then their slopes are equal

Thus ,

Slope of AB = {6 - (-2)}/{7 - 5}

Slope of AB = 8/2

Slope of AB = 4

Similary ,

Slope of BC = {-2 - 6}/{0 - 7}

Slope of BC = -8/-7

Slope of BC = 8/7

$\therefore$ Slope of AB ≠ Slope of BC

Therefore , the given three points are not a collinear lines

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Answer 2

Answer:

not collinear

Step-by-step explanation:

use m= y2 -y1/x2-x1