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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  `(3"x")/4 -"y" = 5`

Sum

Solution

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

i.e m1 x m2 = -1

`(3"x")/4 -"y" = 5` 

y = `3/4"x" - 5`

m1 = `3/4`

Slope of required line (m2) = `-1/"m"_1 = (-4)/3`

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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

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 13 Equation of A Straight Line
Exercise 13.2 | Q 16.3
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