Question

Point A is at (-2,-7) and point M is at (2.5, -1.5).

Answer 1

Answer:

B(7 , 4)

Step-by-step explanation:

(x₁ , y₁) = A(-2 , -7)

(x₂ , y₂) = Point B

Midpoint(5.5, -1.5)

$Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\(\frac{-2+x_{2}}{2} , \frac{-7+y_{2}}{2} = (2.5 , -1.5)$

Compare x-coordinates  & y-coordinates

$\frac{-2+x_{2}}{2}=2.5 ; \frac{-7+y_{2}}{2}=-1.5$

-2+ x₂ = 2.5*2     ; -7+ y₂ = -1.5*2

-2+ x₂ = 5            ; -7 +y₂ = -3

    x₂ = 5 +2       ;        y₂ = -3 + 7

    x₂  = 7            ;        y₂ = 4

B(7 , 4)