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Find the slope, x-intercept, y-intercept of the following line : 2x + 3y – 6 = 0

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Question

Find the slope, x-intercept, y-intercept of the following line : 2x + 3y – 6 = 0

Sum
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Solution

Given equation of the line is 2x + 3y – 6 = 0
Comparing this equation with ax + by + c = 0, we get
a = 2, b = 3, c = – 6

∴ Slope of the line = `(-"a")/"b" = (-2)/3`

x-intercept = `(-"c")/"a" = (-(-6))/2` = 3

y-intercept = `(-"c")/"b" = (-(-6))/3` = 2

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Equations of Lines in Different Forms
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Chapter 5: Locus and Straight Line - Exercise 5.4 [Page 78]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 11 Maharashtra State Board
Chapter 5 Locus and Straight Line
Exercise 5.4 | Q 1. (a) | Page 78
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