Question

If the point $(3,4)$ lies on the graph of $3y=\alpha x+7$, then value of $\alpha$ is $\frac{p}{3}$. The value of $p$ is

• A. $9$
• B. $2$
• C. $7$
• D. $5$

Answer 1

Answer: (D)

$5$

Since the point $(3,4)$ lies on the graph of $3y=ax+7$
$\Rightarrow 3\left(4\right)=\left(\frac{p}{3}\right)\left(3\right)+7$ $\Rightarrow$ Given at $(3,4),a=\left(\frac{p}{3}\right)$
$\Rightarrow 12=p+7\Rightarrow p=5$