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Find the equation of the straight line passing through the point (–2, 4) and making non-zero intercepts on the axis of coordinates whose sum is zero. |
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Answer» Let x – intercept = a y – intercept = b Given that a + b = 0 ⇒ b = –a Intercept form x/a + y/b = 1 ⇒ x/a + y/(- a) = 1 ⇒ x – y = a If this line passing through the point (–2, 4) then –2 – 4 = a ⇒ a = –6 Hence required straight line equation is x – y = –6 ⇒ x – y + 6 = 0. |
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