Question

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

(a) $\frac{2}{5}$

(b) $\frac{5}{3}$

(c) $\frac{3}{5}$

(d) $\frac{2}{7}$

Answer 1

Given equation: $3y=ax+7$.
Also, $(3,4)$ lies on the graph of the equation.
Putting $x=3,y=4$ in the equation, we get:
$3\times 4=3a+7$
⇒ $12=3a+7$
⇒ $3a=12-7=5$
⇒ $a=\frac{5}{3}$
Hence, the correct answer is option (b).