Respuesta :

The midpoint between (2,-5) and (4, -7)  is Option D.(3-6)

Step-by-step explanation:

Given:

Points (2,-5) and (4, -7)

To Find:

Midpoint of the points=?

Solution:

The midpoint that lies between the two points is given by

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Where

[tex](x_m, y_m)[/tex]= coordinates of the midpoint

[tex](x_1, y_1)[/tex]= coordinates of the first point

[tex](x_2, y_2)[/tex]= coordinates of the second point

we have,

[tex]x_1= 2[/tex]

[tex]y_1= -5[/tex]

[tex]x_2= 4[/tex]

[tex]y_2= -5[/tex]

Substituting the values in the mid point formula,

[tex](x,y)=(\frac{(2+4)}{2},\frac{(-5-7)}{2})[/tex]

[tex](x,y)=(\frac{(6)}{2},\frac{(-12)}{2})[/tex]

(x,y)=(3,-6)