Question

The coordinates of midpoint M and endpoint Q of a segment are M(–7, 8) and Q(–19, 30). Find the coordinates of the other endpoint. (–31, 52) (–13, 19) (5, –14) (15, –4)

Answer 1

Answer:5 -14

Step-by-step explanation:edge2023

Answer 2

Explanation:

Use the midpoint formula to solve:

`M=((x_1+x_2)/(2),(y_1+y_2)/(2))`

We know the midpoint and one set of coordinates, so filling those in:

`(-7,8)=((x+(-19))/(2),(y+30)/(2))`

Since the -7 is the x coordinate of the midpoint, we set the x part of the equation equal to -7 and solve for x, and then do the same for y. The 2 equations are:

`-7=(x-19)/(2)` and
`8=(y+30)/(2)` We solve each one of these to get the x and y coordinates of the other endpoint. In both cases, multiply both sides of the equations by 2 and then solve by either adding or subtracting.

-14 = x - 19 so

5 = x

16 = y + 30 so

-14 = y

The coordinates of the other endpoint are (5, -14)