Final answer:
The coordinates of the second endpoint of the line segment are (-12, 8) when the midpoint is (-3,5) and one endpoint is (6,2), calculated using the midpoint formula.
Step-by-step explanation:
To find the coordinates of the second endpoint of a line segment when you have the midpoint and one endpoint, you can use the midpoint formula. The midpoint formula is:
( (x1 + x2)/2, (y1 + y2)/2 )
Where (x1, y1) and (x2, y2) are the coordinates of the endpoints, and the midpoint is given. Since we have the midpoint (-3,5) and one endpoint (6,2), we can set up the following equations:
(-3,5) = ( (6 + x2)/2, (2 + y2)/2 )
To find x2:
-3 = (6 + x2)/2
-6 = 6 + x2
x2 = -12
And to find y2:
5 = (2 + y2)/2
10 = 2 + y2
y2 = 8
Therefore, the coordinates of the second endpoint are (-12, 8), which matches option A.