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Show that the lines x – 2y – 7 = 0 and 2x − 4y + 5 = 0 are parallel to each other. - Mathematics and Statistics

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Question

Show that the lines x – 2y – 7 = 0 and 2x − 4y + 5 = 0 are parallel to each other.

Sum

Solution

Let m1 be the slope of the line x – 2y –  7 = 0.

∴ m1 = `(-1)/(-2) = 1/2`

Let m2 be the slope of the line 2x – 4y + 5 = 0.

∴ m2 = `(-2)/(-4) = 1/2`

Since, m1 = m2
∴ The given lines are parallel to each other.

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General Form Of Equation Of Line
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Chapter 5: Locus and Straight Line - Exercise 5.4 [Page 78]

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