If a straight line passing through the point P(–3, 4) is such that its intercepted portion between the coordinate axes is bisected at P, then its equation is

Engineering

Mathematics

Various Form of a Straight Line

Question

4x + 3y = 0

3x – 4y + 25 = 0

4x – 3y + 24 = 0

x – y + 7 = 0

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$Let the line be \frac{x}{a} + \frac{y}{b} = 1$

$(- 3, 4) = (\frac{a}{2}, \frac{b}{2})$

a = –6, b = 8

4x – 3y + 24 =0