Final answer:
The other endpoint of the line segment with the given midpoint is calculated using the midpoint formula in reverse. It turns out to be (-3, 4), which is not among the provided options (a) to (d).
Step-by-step explanation:
To calculate the other endpoint of a line segment when given one endpoint and the midpoint, you can use the midpoint formula in reverse. The midpoint formula is given by:
M = ((x1 + x2)/2, (y1 + y2)/2)
Where M is the midpoint, (x1, y1) and (x2, y2) are the endpoints of the line segment. In this instance, we have one endpoint (7, 2) and the midpoint (2, 3). Setting up the equation:
(2, 3) = ((7 + x2)/2, (2 + y2)/2)
Equating each coordinate part separately and solving for x2 and y2, we get:
2 = (7 + x2)/2
4 = 7 + x2
x2 = -3
3 = (2 + y2)/2
6 = 2 + y2
y2 = 4
Thus, the other endpoint of the line segment is (-3, 4), which is not given in the answer choices (a) to (d).