Question

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

Answer 1

Answer:

B(1,1)

Step-by-step explanation:

$\frac{9 + x}{2} = 5 \\ 2 \ \times \frac{9 + x}{2} = 5 \times 2 \\ 9 + x = 10 \\ x = 10 - 9 \\ x = 1 \\ \frac{y + - 5}{2} = - 2 \\ 2 \times \frac{y - 5}{2 } = - 2 \times 2 \\ y - 5 = - 4 \\ y = - 4 + 5 \\ y = 1$

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Answer 2

Answer:

B(1 , 1)

Step-by-step 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)