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Find the slope, X-intercept, Y-intercept of the following line: 3x − y − 9 = 0 - Mathematics and Statistics

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Question

Find the slope, X-intercept, Y-intercept of the following line:

3x − y − 9 = 0

Sum

Solution

Given equation of the line is 3x − y − 9 = 0.

Comparing this equation with ax + by + c = 0, we get

a = 3, b = – 1, c = – 9

∴ Slope of the line = `(-"a")/"b" = (-3)/(-1)` = 3

x-intercept = `(-"c")/"a" = (-(-9))/3` = 3

y-intercept = `(-"c")/"b" = (-(- 9))/(-1)` = − 9

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General Form of Equation of a Line
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Chapter 5: Straight Line - Exercise 5.4 [Page 122]

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