Answer
a.)(2,1)
b.)(-2,-2)
c.)(0,3)
d.)(x+1,y+1)
Work Step by Step
a.)(2,-3) and (2,5)
The mid point of the given line segment that joins the given points is($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$
($\frac{2+2}{2}$, $\frac{-3+5}{2}$
(2,1)
b.)(3,-2) and (-7,-2)
The mid point of the given line segment that joins the given points is($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$
($\frac{3-7}{2}$, $\frac{-2-2}{2}$
(-2,-2)
c.)(-4,1) and (4,5)
The mid point of the given line segment that joins the given points is($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$
($\frac{-4+4}{2}$, $\frac{1+5}{2}$
(0,3)
d.)(x-2,y-3) and (x+4,y+5)
The mid point of the given line segment that joins the given points is($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$
($\frac{x-2+x+4}{2}$, $\frac{y-3+y+5}{2}$
(x+1,y+1)
