Question

M is the midpoint of AB. Find the coordinates of B. A(9,-5) M(5,-2)

Answer 1

B(1 , 1)

Explanation:

Midpoint formula=( x²+x¹ , y²+y¹ )

2 2

(5,-2)= (x+9 , y+-5)

2 2

x+9 = 5

2

x+9 = 5×2

x= 10- 9

x = 1

y - 5 = -2

2

y-5 = -4

y= -4+5

y= 1

B (1 , 1)

Answer 2

B(1,1)

Explanation:

`(9 + x)/(2) = 5 \\ 2 \ * (9 + x)/(2) = 5 * 2 \\ 9 + x = 10 \\ x = 10 - 9 \\ x = 1 \\ (y + - 5)/(2) = - 2 \\ 2 * (y - 5)/(2 ) = - 2 * 2 \\ y - 5 = - 4 \\ y = - 4 + 5 \\ y = 1 \\`

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