Respuesta :

Midpoint:

x = (5 - 4)/ 2 = 1/2

y = (6 - 7 )/2 = -1/2


Answer

Midpoint (1/2 , -1/2)

Answer:

The midpoint of the given line segment is (0.5,-0.5).

Step-by-step explanation:

If a line segment has two end points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of line segment is

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

It is given that the end points of a line segment are (5,6) and (-4,-7), so the midpoint of the segment is

[tex]Midpoint=(\frac{5+(-4)}{2},\frac{6+(-7)}{2})[/tex]

[tex]Midpoint=(\frac{1}{2},\frac{-1}{2})[/tex]

[tex]Midpoint=(0.5,-0.5)[/tex]

Therefore the midpoint of the given line segment is (0.5,-0.5).