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rusak2 [61]
3 years ago
14

Prove that the points A (-3,-1), B(6,5) and C (3,3) are collineas

Mathematics
2 answers:
Keith_Richards [23]3 years ago
7 0

Answer:

nose porque está en una idioma que no se

vlabodo [156]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

To show the points are collinear, that is lie on the same line.

Then the slope between A and B, B and C must be equal

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(- 3, - 1) and (x₂, y₂ ) = B(6, 5)

m_{AB} = \frac{5+1}{6+3} = \frac{6}{9} = \frac{2}{3}

Repeat with (x₁, y₁ ) = B(6, 5) and (x₂, y₂ ) = C(3, 3)

m_{BC} = \frac{3-5}{3-6} = \frac{-2}{-3} = \frac{2}{3}

Since the slope between the 2 segments are equal and there is a common point B.

Then the points A, B and C are collinear

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