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Intercept Form of a Straight Line

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Question

Find equation of the line perpendicular to the line $x - 7 y + 5 = 0$ and having x intercept $3$ .

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Solution

$L e t e q u a t i o n o f l i n e y = m (x - d) w h i c h i s p e r p e n d i c u l a r t o x - 7 y + 5 = 0 x - 7 y + 5 = 0 y = \frac{x}{7} + \frac{5}{7} ∴ S l o p e o f g i v e n l i n e = - 1 u s, m = - 7 a n d d = 3 w h e r e d = x - I n t e r c e p t ∴ e q u a t i o n o f r e q u i r e d l i n e \Rightarrow y = - 7 (x - 3), 7 x + y - 21 = 0 A n s .$

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