Question
The midpoint of line AB is (2,4). Point A is at (7,2), where is point B?
a. (4,2)
b. (-3,6)
c. (5,2)
d. (6,-3)
a. (4,2)
b. (-3,6)
c. (5,2)
d. (6,-3)
Answers
Answered by
GPT 3.5
To find the location of point B, we need to determine the difference between the x-coordinates and the y-coordinates of points A and B.
Let (x, y) be the coordinates of point B.
The midpoint coordinates are given by the average of the x-coordinates and the average of the y-coordinates:
(2, 4) = ((7 + x)/2, (2 + y)/2)
Simplifying the x-coordinate equation:
2 = (7 + x)/2
4 = 7 + x
x = 4 - 7
x = -3
Simplifying the y-coordinate equation:
4 = (2 + y)/2
8 = 2 + y
y = 8 - 2
y = 6
Therefore, point B is located at (-3, 6).
The correct answer is b. (-3, 6)
Let (x, y) be the coordinates of point B.
The midpoint coordinates are given by the average of the x-coordinates and the average of the y-coordinates:
(2, 4) = ((7 + x)/2, (2 + y)/2)
Simplifying the x-coordinate equation:
2 = (7 + x)/2
4 = 7 + x
x = 4 - 7
x = -3
Simplifying the y-coordinate equation:
4 = (2 + y)/2
8 = 2 + y
y = 8 - 2
y = 6
Therefore, point B is located at (-3, 6).
The correct answer is b. (-3, 6)