Answer: the coordinates of point Q are (1,−7)
Explanation:
The midpoint of a segment is the point that is exactly halfway between the endpoints of the segment. The midpoint of a segment with endpoints P(5,-1) and Q(x,y) can be found using the following formula:
M = ((x+5)/2, (y-1)/2)
We are given that the midpoint of the segment is M(3,-4), so we can substitute these values into the formula to find the values of x and y:
(x+5)/2 = 3
x+5 = 6
x = 1
(y-1)/2 = -4
y-1 = -8
y = -7