Question

determine if the points (3,1) , (6,4) and (8,6) are collinear.​

Answer 1

Step-by-step explanation:

Given points are A(3,1),B(6,4) and C(8,6).

If AB+BC=AC, then the three points are collinear.

By distance formula, AB = [(x2−x1)2+(y2−y1)2]

AB = [(6−3)2+(4−1)2]

AB = [(3)2+(3)2]

AB = [9+9]

AB = 18

AB = (9×2)

AB = 32

By distance formula, BC = [(x2−x1)2+(y2−y1)2]

BC = [(8−6)2+(6−4)2

Given points are A (3, 1), B (6, 4) and C (8, 6). If AB+BC = AC, then the three points are collinear. Hence proved.

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