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Find the equation of the line containing point A(3, 5) and having slope 23. - Mathematics and Statistics

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Question

Find the equation of the line containing point A(3, 5) and having slope `2/3`.

Sum

Solution

Given, slope(m) = `2/3` and the line passes through (3, 5).

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

∴ The equation of the required line is

y – 5 = `2/3("x" - 3)`

∴ 3(y – 5) = 2(x – 3)

∴ 3y – 15 = 2x – 6

∴ 2x – 3y + 9 = 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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