Question

If the mid-point of the line segment joining the points $A(6,x-2)$ and $B(-2,4)$ is $(2,-3)$ find the value of $x$.

Answer 1

By midpoint formula,

$-3=\frac{x-2+4}{2}$

$\Rightarrow x+2=-6$

$\Rightarrow x=-8$.