Question

Find the other endpoint of the line segment with the given endpoint and midpoint ​

Answer 1

The missing end point is (-15,-16)

Explanation:

Mathematically, we have the formula for the midpoint as follows;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

(x,y) = (-10,-6)

(x1,y1) = (-5,4)

(x2,y2)= (?,?)

(-10,-6) = (-5 + ?)/2, (4 + ?)/2

(-5 + ?)/2 = -10

-5 + ? = 2(-10)

-5 + ? = -20

? = -20 + 5 = -15

(4 + ?)/2 = -6

4 + ? = 2(-6)

4 + ? = -12

? = -12 - 4 = -16

So we have the missing coordinates as;

(-15,-16)