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Find the Slope of a Line Perpendicular to the Foloowing Line - Mathematics

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Question

Find the slope of a line perpendicular to the foloowing line 4x + y = 7

Sum

Solution

When two lines are perpendicular to each other the product of their slope is -1.

i.e m1 x m2 = -1 

4x + y = 7 

y = -4x + 7

m1 = -4

Slope of required line (m2) = `(-1)/("m"_1) = 1/4`

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Conditions for Two Lines to Be Parallel Or Perpendicular
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Chapter 13: Equation of A Straight Line - Exercise 13.2

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 13 Equation of A Straight Line
Exercise 13.2 | Q 16.5
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