Question

If the point $(3,4)$ lies on the graph of the equation $3y=ax+7$, then the value of a is ____.

• A. $\frac{1}{3}$
• B. $1$
• C. $\frac{4}{3}$
• D. $\frac{5}{3}$

Answer 1

The correct option is D $\frac{5}{3}$

If $(3,4)$ lies in the equation $3y=ax+7$, then the must satisfy the equation of the line.

Thus, $3\left(4\right)=a\left(3\right)+7$

$\Rightarrow 12=3a+7\Rightarrow a=\frac{5}{3}$