Question

If the point (3, 4) lies on the graph of the equation 2y = ax + 6, then (6, 5) will also lie on the same graph?

• A. Yes
• B. No
• C. Ambiguous
• D. Data insufficient

Answer 1

The correct option is A Yes

Since, (3, 4) lies on $2y=ax+6$. Therefore, $8=3a$, i.e., a = $\frac{2}{3}$
Now, we have 2y =$\frac{2}{3}x+6$
Putting $x=6,y=5$, we get $10$ = $\frac{2}{3}6+6=4+6=10$
Hence $(6,5)$ lies on the same graph