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Find the equation of the line, whose x-intercept = 5 and y-intercept = 3 - Mathematics

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Question

Find the equation of the line, whose x-intercept = 5 and y-intercept = 3

Sum

Solution

When x-intercept = 5, corresponding point on x-axis is (5, 0)

When y-intercept = 3, corresponding point on y-axis is (0, 3).

Let (x1, y1) = (5, 0) and (x2, y2) = (0, 3)

Slope = `(3 - 0)/(0 - 5) = (-3)/5`

The required equation is:

y – y1 = m(x – x1)

`y - 0 = (-3)/5(x - 5)`

5y = –3x + 15

3x + 5y = 15

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

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Selina Mathematics [English] Class 10 ICSE
Chapter 14 Equation of a Line
Exercise 14 (C) | Q 15.1 | Page 197
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