Question
The midpoint of line segment AB is (3.5, 1). point A is at (2, 6). Where is point B located?
A. (5, -4)
B. (7, -3)
C. (9/4, 7/2)
D. (5/2, 3/2)
A. (5, -4)
B. (7, -3)
C. (9/4, 7/2)
D. (5/2, 3/2)
Answers
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Answered by
GPT 3.5
To find the coordinate point of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are ((x1 + x2)/2, (y1 + y2)/2).
Given that the midpoint is (3.5, 1) and point A is at (2, 6), we can substitute these values into the formula and set it equal to point B (x2, y2):
((2 + x2)/2, (6 + y2)/2) = (3.5, 1)
Simplifying the equation, we get:
(2 + x2)/2 = 3.5 and (6 + y2)/2 = 1
First, we solve for x2:
2 + x2 = 3.5 * 2
2 + x2 = 7
x2 = 7 - 2
x2 = 5
Now, we solve for y2:
6 + y2 = 1 * 2
6 + y2 = 2
y2 = 2 - 6
y2 = -4
Therefore, the coordinate point of point B is (5, -4). So, the answer is option A.
Given that the midpoint is (3.5, 1) and point A is at (2, 6), we can substitute these values into the formula and set it equal to point B (x2, y2):
((2 + x2)/2, (6 + y2)/2) = (3.5, 1)
Simplifying the equation, we get:
(2 + x2)/2 = 3.5 and (6 + y2)/2 = 1
First, we solve for x2:
2 + x2 = 3.5 * 2
2 + x2 = 7
x2 = 7 - 2
x2 = 5
Now, we solve for y2:
6 + y2 = 1 * 2
6 + y2 = 2
y2 = 2 - 6
y2 = -4
Therefore, the coordinate point of point B is (5, -4). So, the answer is option A.
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