Final answer:
The coordinates of the midpoint of the line segment that joins (7,6) and (5,2) are (6, 4).
Step-by-step explanation:
To find the coordinates of the midpoint of the line segment that joins (7,6) and (5,2), we use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are:
( ((x1 + x2)/2), ((y1 + y2)/2) )
In this case, substituting the values (7,6) and (5,2) into the formula, we get:
( ((7 + 5)/2), ((6 + 2)/2) )
Simplifying the expression, we find that the coordinates of the midpoint are (6, 4).