43.6k views
7 votes
Point A is located at (-2,-4). The midpoint of the line segment AC is point B (6,8). What are the coordinates of point C ?

2 Answers

3 votes
Point C (14,20) this is the answer
User Alex Boisvert
by
8.3k points
11 votes

Answer:

Explanation:


Midpoint of AC = \left((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2) \right)\\\\x_(1)=-2 \ and \ y_(1)=-4\\\\\left((-2+x_(2))/(2),(-4+y_(2))/(2) \right) = \left(6 ,8 \right)\\\\\\Compare \ x-coordinates \ and \ y-coordinates\\\\(-2+x_(2))/(2)=6 \ ; (-4+y_(2))/(2)=8

-2 + x₂ = 6*2 ; -4 + y₂ = 8*2

-2 + x₂ = 12 ; -4 + y₂ = 16

x₂ = 12+2 ; y₂ = 16+4

x₂ = 14 ; y₂ = 20

Point C(14, 20)

User Kaushal Sachan
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories