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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

Asked by Deeksha(student) , on 23/2/14


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EXPERT ANSWER
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,

Posted by Priyanka Kedia(MeritNation Expert)on 24/2/14

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