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23 votes
23 votes
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)

User Li Haoyi
by
3.1k points

2 Answers

13 votes
13 votes

Answer:5 -14

Step-by-step explanation:edge2023

29 votes
29 votes

Answer:

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)

User Flamingo
by
3.2k points
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