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Find the x and y-intercepts of the following line: 2x – 3y + 12 = 0 - Mathematics and Statistics

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Question

Find the x and y-intercepts of the following line: 2x – 3y + 12 = 0

Sum

Solution

Given equation of the line is 2x – 3y + 12 = 0
∴ 2x – 3y  = – 12

∴ `(2x)/((-12)) - (3y)/((-12)` = 1

∴ `x/(-6) + y/4` = 1

This is of the form `x/"a" + y/"b"` = 1,

where x-intercept = a, y-intercept = b
∴ x-intercept =  6 and y-intercept = 4.

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Equations of Lines in Different Forms
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Chapter 5: Locus and Straight Line - Exercise 5.3 [Page 73]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 5 Locus and Straight Line
Exercise 5.3 | Q 7. (c) | Page 73
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