Suppose Rm (3,-4) = (1,1) and Rn (1,1) = (-5,16) Is m || n? Explain.

Question

Mathematics

Thomas Wright

1 February, 07:26

Suppose Rm (3,-4) = (1,1) and Rn (1,1) = (-5,16) Is m || n? Explain.

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Answers (1)

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Lambert · Answer 1

To determine if the given pair of lines are parallel, we are to calculate first for their slopes through the equation,

m = (y₂ - y₁) / (x₂ - x₁)

Rm (3, - 4) and (1,1)

m = (1 - - 4) / (1 - 3) = - 5/2

Rn (1,1) and (-5,16)

m = (16 - 1) / (-5 - 1) = - 5/2

Since the lines have the same slope, then they are parallel. The answer is true.