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Answer the following question: Reduce the equation 6x + 3y + 8 = 0 into slope-intercept form. Hence find its slope - Mathematics and Statistics

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Question

Answer the following question:

Reduce the equation 6x + 3y + 8 = 0 into slope-intercept form. Hence find its slope

Sum
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Solution

Given equation is 6x + 3y + 8 = 0, which can be written as

3y = – 6x – 8

∴  y = `(-6x)/3 - 8/3`

∴ y = `-2x - 8/3`

This is of the form y = mx + c with m = – 2

∴ y = `-2x - 8/3` is in slope-intercept form with slope = – 2

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Chapter 5: Straight Line - Miscellaneous Exercise 5 [Page 124]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 5 Straight Line
Miscellaneous Exercise 5 | Q II. (2) | Page 124
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