Question

Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unknown endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.) midpoint (-4,13) endpoint-(0,5)

Answer 1

end point of a segment X₂ = - 8 ; Y₂ = 21

Explanation:

given;

midpoint = ( Mx = -4 , My = 13 )

endpoint ₁ = ( X₁ = 0 , Y₁ = 5 )

find the other endpoint ₂ ( X₂ , Y₂)

use the mid point formula to get the other endpoint:

Mx = ( X₁ + X₂ ) / 2 My = ( Y₁ + Y₂ ) / 2

- 4 = (0 + X₂) / 2 13 = (5 + Y₂) / 2

-8 = 0 + X₂ 26 = 5 + Y₂

X₂ = -8 Y₂ = 21