Question

The midpoint of a segment is (-9, -1). One endpoint of the segment is (2,-5). What are the coordinates of the other endpoint of the segment?

O (-5,-6)
O (-20,3)
O (-16,-7)
O (13,-9)

Answer 1

The coordinates of the other endpoint of the segment are (-20, 3).

Step-by-step explanation:

To find the coordinates of the other endpoint of the segment, we can use the midpoint formula. The midpoint formula states that the midpoint of a segment with endpoints (x1, y1) and (x2, y2) is ((x1 + x2)/2, (y1 + y2)/2).

Given that the midpoint is (-9, -1) and one endpoint is (2, -5), we can substitute these values into the formula:

((2 + x2)/2, (-5 + y2)/2) = (-9, -1)

Simplifying the equation, we have:

(2 + x2)/2 = -9 and (-5 + y2)/2 = -1

Multiplying both sides of the equations by 2, we get:

2 + x2 = -18 and -5 + y2 = -2

By solving for x2 and y2, we find that the coordinates of the other endpoint of the segment are (x2, y2) = (-20, 3).