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Find the equation of straight line passing through (–2, 4) and making non-zero intercepts whose sum is zero. |
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Answer» Let X – intercept = a Y – intercept = b By hypothasis a + b = 0 ⇒ b = – a Intercept form (x/a) + (y/b) = 1 ⇒ (x/a) + (y/-a) = 1 ⇒ x – y = a But this straight line passing through (–2, 4). ∴ – 2 – 4 = a ⇒ a = – 6 ∴ Required straight line equation is x – y = – 6 ⇒ x – y + 6 = 0 |
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