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dimaraw [331]
3 years ago
11

The midpoint of AB is M (2,0). If the coordinates of A are (7, -2), what

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0

Answer:

The coordinates of point B are (-3,2)

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})

we have

M(2,0)\\(x_1,y_1)=(7,-2)

substitute

(2,0)=(\frac{7+x_2}{2},\frac{-2+y_2}{2})

Find the value of x_2

we have that

2=\frac{7+x2}{2}

4=7+x_2\\x_2=-3

Find the value of y_2

we have that

0=\frac{-2+y_2}{2}

0=-2+y_2\\y_2=2

therefore

The coordinates of point B are (-3,2)

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