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Question
Determine whether the following points are collinear. A(–1, –1), B(0, 1), C(1, 3)
Given: Points A(–1, –1), B(0, 1) and C(1, 3)
Slope of line AB = `(square - square)/(square - square) = square/square` = 2
Slope of line BC = `(square - square)/(square - square) = square/square` = 2
Slope of line AB = Slope of line BC and B is the common point.
∴ Points A, B and C are collinear.
Solution
Given: Points A(–1, –1), B(0, 1) and C(1, 3)
Slope of line AB = `(bb1 - bb((-1)))/(bb0 - bb((-1))) = bb2/bb1` = 2
Slope of line BC = `(bb3 - bb1)/(bb1 - bb0) = bb2/bb1` = 2
Slope of line AB = Slope of line BC and B is the common point.
∴ Points A, B and C are collinear.
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