Question

If the slope of the line that passes through the points $(a,0)$ and $(1,-2)$ is $\frac{1}{2}$, what is the value of $a$?

• A. $5$
• B. $4$
• C. $3$
• D. $6$

Answer 1

The correct option is A $5$

Slope of the line passing through the points $(a,0)$ and $(1,-2)$ is $\frac{(0+2)}{(a-1)}=\frac{2}{(a-1)}$.

Given that the slope of line is $\frac{1}{2}$ which is equal to $\frac{2}{(a-1)}$.

Therefore $\frac{2}{(a-1)}=\frac{1}{2}$. which implies $a-1=4$.

So, $a=5$