find the missing endpoint if the midpoint is (4,3) and one end point is (11,-2)

Answer 1

Hi Nav L.

(-3, 4)

With the information given, you can use the Midpoint Formula, which gives the coordinates of the Midpoint,(x, y) to solve for the coordinates of the endpoint.

Midpoint Formula

(x₁ + x₂/2, y₁ + y₂/2)

Let (x₁, y₁) = (11, -2) the Endpoint given

Let (x₂, y₂) = the coordinates we need to find

Let (x, y) = (4, 3) the Midpoint given

x₁ + x₂/2 = x

(11 + x₂)/2 = 4

Multiply both sides of the Equation by 2

11 + x₂ = 8

Subtract 11 from both sides of the equation

x₂ = 8 - 11

x₂ = -3

Repeat the process for the missing y₂ coordinate of the other endpoint

y₁ + y₂/2 = 3

(2 + y₂)/2 = 3

2 + y₂ = 6

y₂ = 4

I hope you find this useful if you have any questions please send me a message.