Question

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

MY
Point M is the midpoint of point A and point B.
What are the coordinates of point B?

Answer 1

B(7 , 4)

Explanation:

(x₁ , y₁) = A(-2 , -7)

(x₂ , y₂) = Point B

Midpoint(5.5, -1.5)

Compare x-coordinates & y-coordinates

-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)

Explanation:

Answer 2

B(7 , 4)

Explanation:

(x₁ , y₁) = A(-2 , -7)

(x₂ , y₂) = Point B

Midpoint(5.5, -1.5)

`Midpoint= ((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))\\\\\\((-2+x_(2))/(2) , (-7+y_(2))/(2) = (2.5 , -1.5)`

Compare x-coordinates & y-coordinates

`(-2+x_(2))/(2)=2.5 ; (-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)