Each coordinate of the midpoint between two points is given by the sum of the respective coordinates of those two points, divided by 2:
[tex]midpoint_{\text{ }}of(x_1,y_1)and(x_2,y_2\text{)= }(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]For the points (0,7) and (4,-9), we have:
x₁ = 0
y₁ = 7
x₂ = 4
y₂ = -9
Thus, the midpoint between those points is:
[tex](\frac{0+4}{2},\frac{7-9}{2})=(\frac{4}{2},\frac{-2}{2})=(2,-1)[/tex]Therefore, the midpoint is: (2,-1)