What's the other end point of (-8,-3) and there midpoint is (9,10)?

Question

Need help with this end point problem I'm struggling so I would ask for you help please and thank you 

Answer 1

The midpoint formula tells us that

the midpoint for  (x₁,y₁), (x₂,y₂) = [(x₁+x₂)/2 , (y₁+y₂)/2]

 

x₁ = -8

 

(-8+x₂)/2 = 9

-8+x₂ = 18

x₂ = 26

 

y₁ = -3

 

(-3+y₂)/2 = 10

-3 + y₂ = 20

y₂ = 23

 

The end point is (26, 23)

 

 

NOTE:  That is by the formula... but there is a simpler logical method

For the x coordinates we moved -8 t0 9 to reach the halfway point.

That is a distance of 17.  We should move 17 more to get to the end point.

9 + 17 = 26

 

For the y coordinate we moved from -3 to 10 to get to the halfway point.

That is a distance of 13.  10 + 13 = 23

 

Endpoint:  (26, 23)