what is the midpoint of the line segment joining the points (5,3) abd (-2,-7)?

just take the average of the x- and y-values.

To find the midpoint of a line segment, you can use the formula:

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

Let's calculate the midpoint using the given points (5, 3) and (-2, -7).

For the x-coordinate:
(x1 + x2) / 2 = (5 + (-2)) / 2 = 3 / 2 = 1.5

For the y-coordinate:
(y1 + y2) / 2 = (3 + (-7)) / 2 = -4 / 2 = -2

Therefore, the midpoint of the line segment joining the points (5, 3) and (-2, -7) is (1.5, -2).