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Find the equation of the line having slope 12 and containing the point (3, −2). - Mathematics and Statistics

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Question

Find the equation of the line having slope `1/2` and containing the point (3, −2).

Sum

Solution

Given, slope(m) = `1/2` and the line passes through (3, −2).

Equation of the line in slope point form is y − y1 = m(x − x1)

∴ The equation of the required line is

[y − (− 2)] = `1/2("x" - 3)`

∴ 2(y + 2) = x − 3

∴ 2y + 4 = x − 3

∴ x − 2y − 7 = 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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