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Question
Find the equation of the line passing through the origin and parallel to AB, where A is (2, 4) and B is (1, 7)
Solution
Slope of AB = `(7 - 4)/(1 - 2) = 3/(-1)` = – 3
Since required line is parallel to AB, slope of the line is – 3 and it is passing through the origin.
∴ equation of the required line is
y = mx, where m = – 3
∴ y = – 3x.
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