Question

Find the value of $a$, for which point $P(\frac{a}{3},2)$ is the mid-point of the line segment joining the points $Q(-5,4)$ and $R(-1,0)$.

Answer 1

Given $P(\frac{a}{3},2)$ is mid point of we joining points $Q(-5,4)$ & $R(-1,0)$

then $\frac{-5-1}{2}=\frac{a}{3}$

$\frac{-6}{2}=\frac{a}{3}$

$\therefore [a=-9]$