Answer with explanation:
We have to find the mid point of the points P (-0.5,3) and Q(4,7.5) that lie on two dimensional coordinate system .Suppose mid point of PQ is R(x,y).
→Mid point of a line segment means that point on the line segment which divides the Segment in the ratio of 1:1.
→Mid point formula , point joining [tex](x_{1},y_{1}),(x_{2},y_{2})[/tex] is
[tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
→So, Mid point of line segment that has endpoints at (–0.5, 3) and (4, 7.5) is
[tex](\frac{-0.5+4}{2},\frac{3+7.5}{2})=(\frac{3.5}{2},\frac{10.5}{2})=(1.75,5.25)[/tex].
