Question

Midpoint (6, -7), Endpoint (-5, -9), find the coordinates of the other endpoint.

a. (-16, -5)
b. (-6, -15)
c. (-4, -11)
d. (-14, -9)

Answer 1

To find the coordinates of the other endpoint, use the formula for finding the midpoint of a line segment. Given the endpoint (6, -7) and the midpoint (6, -9), substitute the values into the formula and solve for the missing coordinates. The correct coordinates of the other endpoint are (-17, -11).

Step-by-step explanation:

To find the coordinates of the other endpoint, we can use the formula for finding the midpoint of a line segment:

Midpoint = [(x1 + x2)/2, (y1 + y2)/2]

Given that one endpoint is (6, -7) and the midpoint is (6, -9), we can substitute these values into the formula:

6 = [(x1 + -5)/2]

-9 = [(y1 + -7)/2]

Solving these equations, we find that x1 = -17 and y1 = -11.

Therefore, the coordinates of the other endpoint are (-17, -11), which corresponds to option c.