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ExtremeBDS [4]
3 years ago
7

M is the midpoint of line segment AB. If the coordinates of M are (2, 6) and the coordinates of B are (5, 10), which of the foll

owing represents the coordinates of point A?
Mathematics
1 answer:
Nitella [24]3 years ago
8 0

Answer:

The coordinates are A(-1,2)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

In this problem we have

M(2,6)\\A(x_1,y_1)

B(x_2,y_2) ---> B(5,10)

substitute the given values

(2,6)=(\frac{x_1+5}{2},\frac{y_1+10}{2})

Solve for x_1

2=(x_1+5)/2\\4=x_1+5\\x_1=4-5=-1

Solve for y_1

6=(y_1+10)/2\\12=y_1+10\\y_1=12-10=2

therefore

The coordinates are A(-1,2)

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