Find the midpoint of the line segment having the given endpoints (8,-4) and (-7,9).

(8,-4) and (-7,9).

Midpoint =(x1 + x2)/2, (y1 + y2)/2

Mx = (8 + -7)/2 = 1/2 = 0.5
My = (-4 + 9)/2 = 5/2 = 2.5

Midpoint (0.5, 2.5)

To find the midpoint of a line segment with given endpoints, you can use the midpoint formula.

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2 , (y1 + y2) / 2)

where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

In this case, the endpoints are (8, -4) and (-7, 9).

Using the formula:

Midpoint = ((8 + (-7)) / 2 , (-4 + 9) / 2)

= (1/2, 5/2)

Therefore, the midpoint of the line segment with endpoints (8,-4) and (-7,9) is (1/2, 5/2).

To find the midpoint of a line segment with given endpoints (x1, y1) and (x2, y2), you can use the midpoint formula:

Midpoint = ((x1 + x2) / 2 , (y1 + y2) / 2)

Let's apply this formula to your given endpoints (8, -4) and (-7, 9):

Midpoint = ((8 + (-7)) / 2 , (-4 + 9) / 2)
Midpoint = ((1) / 2 , (5) / 2)
Midpoint = (0.5, 2.5)

Therefore, the midpoint of the line segment with the given endpoints (8,-4) and (-7,9) is (0.5, 2.5).