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Find the equation of the line passing through : (−1, −4) and (3, 0) - Mathematics

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Question

Find the equation of the line passing through : (−1, −4) and (3, 0)

Sum

Solution

Let (−1, −4) = (x1, y1) and (3, 0) = (x2, y2)

∴ Slope of the line = `(0 + 4)/(3 + 1) = 4/4 = 1`

The required equation of the line is given by:

y − y1 = m(x − x1)

y + 4 = 1(x + 1)

y + 4 = x + 1

y = x − 3

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Equation of a Line
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Chapter 14: Equation of a Line - Exercise 14 (C) [Page 197]

APPEARS IN

Selina Mathematics [English] Class 10 ICSE
Chapter 14 Equation of a Line
Exercise 14 (C) | Q 5.2 | Page 197
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