Final answer:
The midpoint of the line with endpoints (-2, -8) and (3, -3) is calculated as (0.5, -5.5) using the midpoint formula.
Step-by-step explanation:
The midpoint of a line segment can be calculated by taking the average of the x-coordinates and the average of the y-coordinates of its endpoints. To find the midpoint of the line with endpoints (-2,-8) and (3,-3), we apply the midpoint formula:
Midpoint formula: ((x1 + x2)/2, (y1 + y2)/2).
By substituting the given values, we get:
( (-2 + 3)/2 , (-8 -3)/2 ) = ( 1/2 , -11/2 )
So the midpoint is (0.5, -5.5).