Line PQ intersects Y-axis at 0- 3 with slope -1-2 The equation of line PQ is-

The correct option is B x+2y=6 #160;Given the line PQ intersects Y axis at P(0,p)=(0,3) and its slope is=m= 1 2 . ...

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Byju's Answer

Standard XII

Mathematics

Slope Intercept Form of a Line

Line PQ inter...

Question

Line PQ intersects Y-axis at (0, 3) with slope $- \frac{1}{2}$ The equation of line PQ is.

x-2y=3

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x+2y=6

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2y-x=3

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x-2y-6=0

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Solution

The correct option is B x+2y=6
$G i v e n - t h e l i n e P Q i n t e r s e c t s Y - a x i s a t P (0, p) = (0, 3) a n d i t s s l o p e i s = m = - \frac{1}{2} . T o o b t a i n - t h e e q u a t i o n o f t h e l i n e . W e k n o w t h a t w h e n a l i n e P Q i n t e r s e c t s Y - a x i s a t (0, p) t h e n t h e y - i n t e r c e p t i s p . T h e e q u a t i o n o f a l i n e w i t h y - i n t e r c e p t c a n d s l o p e m i s y = m x + c . S u b s t i t u t i n g t h e v a l u e s o f m & c w e c a n g e t t h e r e q u i r e d e q u a t i o n . H e r e p = 3 & m = - \frac{1}{2} . ∴ T h e e q u a t i o n o f t h e l i n e i s y = (- \frac{1}{2} .) x + 3 ⟹ x + 2 y = 3.$

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