Question

If the point $(1,2)$ lies on the graph of the equation $2y=ax-4$. Find the value of $a$ and hence draw the graph of the linear equation.

• A. $a=6$
• B. $a=3$
• C. $a=9$
• D. $a=8$

Answer 1

The correct option is D $a=8$

Given equation is: $2y=ax-4$.
It is also given that the point $(1,2)$ lies on the graph of the equation.
$\Rightarrow 2\left(2\right)=a\left(1\right)-4\Rightarrow a=4+4\Rightarrow a=8$
Now, the linear equation is: $2y=8x-4$ or $y=4x-2$
Again, when $y=0,x=\frac{1}{2}$ and
when $x=0,y=-2$
Therefore, the graph of the equation is as: