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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 `"x"/2 + "y"/3 = 4/3`

Sum

Solution

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

i.e m1 x m2 = -1

`"x"/2 + "y"/3 = 4/3`

3x + 2y = 8

y = -`3/2"x" + 4` 

m1 = `-3/2`

Slope of required line (m2) = `-1/("m"1) = 2/3`

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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 16.1
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