Answer:(2.5,3.5),(-3,5),(-1,7.5),(1.5,-2),(-1.5,-7.5)
Step-by-step explanation:
Mid point of the line with ends [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is given by [tex](\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})[/tex].
Option A:
[tex](x_{1},y_{1})=(1,2)[/tex]
[tex](x_{2},y_{2})=(4,5)[/tex]
the coordinates of midpoint are [tex](\frac{1+4}{2} ,\frac{2+5}{2})=(2.5,3.5)[/tex]
Option B:
[tex](x_{1},y_{1})=(-8,6)[/tex]
[tex](x_{2},y_{2})=(2,4)[/tex]
the coordinates of midpoint are [tex](\frac{-8+2}{2} ,\frac{6+4}{2})=(-3,5)[/tex]
Option C:
[tex](x_{1},y_{1})=(3,9)[/tex]
[tex](x_{2},y_{2})=(-5,6)[/tex]
the coordinates of midpoint are [tex](\frac{3-5}{2} ,\frac{9+6}{2})=(-1,7.5)[/tex]
Option D:
[tex](x_{1},y_{1})=(6,0)[/tex]
[tex](x_{2},y_{2})=(-3,-4)[/tex]
the coordinates of midpoint are [tex](\frac{6-3}{2} ,\frac{0-4}{2})=(1.5,-2)[/tex]
Option E:
[tex](x_{1},y_{1})=(-2,-8)[/tex]
[tex](x_{2},y_{2})=(-1,-7)[/tex]
the coordinates of midpoint are [tex](\frac{-2-1}{2} ,\frac{-8-7}{2})=(-1.5,-7.5)[/tex]
