Answer:
Midpoint is [tex](-5,6)[/tex].
Step-by-step explanation:
Given points are [tex](-4,5)[/tex] and [tex](-6,7)[/tex]
Midpoint of points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is [tex]\left (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} \right )[/tex]
Therefore, [tex]\left (\frac{-4+(-6)}{2},\frac{5+7}{2} \right )[/tex][tex]=\left (\frac{-4-6}{2},\frac{5+7}{2} \right )[/tex]
[tex]=\left (\frac{-10}{2},\frac{12}{2} \right )[/tex]
[tex]=(-5,6)[/tex]
