Concept:The midpoint of a line segment is the average of the corresponding coordinates of its endpoints.Explanation:Given X(−8,−12) and Y(p,q), the midpoint is:M=(2−8+p,2−12+q)This is equal to the given midpoint (−4,−2).Compare the x-coordinates:2−8+p=−4−8+p=−8p=0Compare the y-coordinates:2−12+q=−2−12+q=−4q=8So the coordinates of Y are (0,8).Answer:Y = (0,8), which is option B.