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Find the equation of the line passing through the origin and parallel to AB, where A is (2, 4) and B is (1, 7) - Mathematics and Statistics

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प्रश्न

Find the equation of the line passing through the origin and parallel to AB, where A is (2, 4) and B is (1, 7)

बेरीज

उत्तर

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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Equations of Line in Different Forms
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Straight Line - Exercise 5.3 [पृष्ठ ११४]

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