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

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Question

Find the x and y intercept 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 Line in Different Forms
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Chapter 5: Straight Line - Exercise 5.3 [Page 114]

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