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Deeksha from DELHI PUBLIC SCHOOL, asked a question
Subject: Math , asked on 23/2/14

If point (4,3) lies on the graph of the equation 3x-ay=6. Find whether (-2,-6) also lie on the same graph. Find the coordinates of the points where the graph cuts x-axis and y-axis.

This is alo anew question faced by me. So, please Experts, help me to solve the problem and make the graph in easier way.

Thank you and reply fast

EXPERT ANSWER

Priyanka Kedia , Meritnation Expert added an answer, on 24/2/14
5349 helpful votes in Math
G i v e n ,   t h e   p o i n t   4 , 3   l i e s   o n   t h e   g r a p h   o f   t h e   e q u a t i o n   3 x - a y = 6 .   T h e r e f o r e , t h e   p o i n t   4 , 3   s a t i s f i e s   t h e   e q u a t i o n . 3 × 4 - a × 3 = 6 12 - 3 a = 6 3 a = 6 a = 2 T h u s ,   t h e   e q u a t i o n   w i l l   b e   3 x - 2 y = 6 . N o w ,   p u t   t h e   p o i n t   - 2 , - 6   i n   a b o v e   e q u a t i o n ,   w e   h a v e , 3 × - 2 - 2 × - 6 = 6 - 6 + 12 = 6 6 = 6 T h u s ,   t h e   p o i n t   - 2 , - 6   l i e s   o n   t h e   s a m e   g r a p h . W h e n   g r a p h   c u t s   x - a x i s ,   p u t   y = 0 3 x - 2 × 0 = 6 x = 2 T h u s ,   t h e   c o o r d i n a t e   i s   2 , 0 . A n d , W h e n   g r a p h   c u t s   y - a x i s ,   p u t   x = 0 3 × 0 - 2 × y = 6 y = - 3 T h u s ,   t h e   c o o r d i n a t e   i s   0 , - 3 .
Now, to draw the graph join the point (2,0) and (0,-3), we have,

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