Maharashtra State BoardHSC Commerce 11th
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Find the equation of the line passing through the points A(–3, 0) and B(0, 4). - Mathematics and Statistics

Sum

Find the equation of the line passing through the points A(–3, 0) and B(0, 4).

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Solution

Since, the required line passes through the points A(–3, 0) and B(0, 4).
Equation of the line in two point form is

`(y - y_1)/(y_2 - y_1) = (x - x_1)/(x_2 - x_1)`

Here, (x1, y1) = (–3, 0) and (x2, y2) = (0, 4)
∴ the equation of the required line is

`(y - 0)/(4 - 0) = (x - (- 3))/(0 - (- 3))`

∴ `y/4 = (x + 3)/3`

∴ 4x + 12 = 3y
∴ 4x – 3y + 12 = 0

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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 5 Locus and Straight Line
Miscellaneous Exercise 5 | Q 13 | Page 80
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