Question

If the mid-point of the line segments joining the points $(6,a-2)$ and $(-2,4)$ is $(2,-4)$, then find the value of $a$

Answer 1

Given the mid point of $(6,a-2)$ and $(-2,4)$ is $(2,-4)$

Then we have,

$(\frac{6-2}{2},\frac{a-2+4}{2})=(2,-4)$

or, $a+2=-8$

or, $a=-10$.