Draw the graph of equation $3 x - 4 y = 12$ and find the value of $y$ ,when $x = 4$ .

y = - 3

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y = 0

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y = 3

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y = 4

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Solution

The correct option is B $y = 0$
$T h e g i v e n e q u a t i o n i s 3 x - 4 y = 12 ⟹ y = \frac{3}{4} x - 3. H e r e x i s t h e i n d e p e n d e n t v a r i a b l e . W e a s s i g n a t l e a s t a n y 3 v a l u e s o f x a n d o b t a i n t h e c o r r e s p o n d i n g v a l u e s o f y . x = - 6 ⟶ y = - 7.5, x = 8 ⟶ y = 3, x = 10 ⟶ y = 4.5. S o t h e o r d e r e d p a i r e s o f v a l u e s o f (x, y) = (- 6, - 7.5), (8, 3) & (10, 4.5) . N o w w e p l o t t h e m o n a g r a p h . F r o m t h e g r a p h x = 3 ⟶ y = 0. ∴ (x, y) = (3, 0) A n s - O p t i o n B .$

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Similar questions

Draw the graph of the equation, 2x - 3y = 5.

From your graph, find (i) the value of y when x = 4 and (ii) the value of x when y = 3.

3 x + 4 y = 12

y

x = 0

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