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Find the equation of the line passing through the points A(2, 0), and B(3, 4) - Mathematics and Statistics

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Question

Find the equation of the line passing through the points A(2, 0), and B(3, 4)

Sum

Solution

Equation of the line passing through the points (x1, y1) and (x2, y2) is

`(y - y_1)/(x - x_1) = (y_2 - y_1)/(x_2 - x_1)`

Here, (x1, y1) = (2, 0) and (x2, y2) = (3, 4)

∴ equation of the required line is

`(y - 0)/(x - 2) = (4 - 0)/(3 - 2) = 4/1` = 4

∴ y = 4x – 8

∴ 4x – y – 8 = 0

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Equations of Line in Different Forms
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Chapter 5: Straight Line - Exercise 5.3 [Page 114]

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