The midpoint of 𝐶𝐷 is M (-4, 2). One endpoint is C (3, 5). Find the coordinates of endpoint D.

The correct answer is: (-11, -1)

• Step by step explanation:

○        Given:
The midpoint of the line is M (-4, 2).
one endpoint is C( 3, 5).
○        Step 1:
○        Let the endpoint D be (x₂, y₂)
○        As we know, the midpoint divides the line segment in two equal parts, and midpoint of line are given by 
So,
Coordinates of Midpoint of  M be:

( 3 + x₂ ) = -4 2 ,   ( 5 + y₂ ) = 2  2

3 + x₂ = -8, 5 + y₂ = 4

x₂ = -8 - 3, y₂ = 4 - 5

x₂ = -11 , y₂ =  - 1

(x₂, y₂)  = (-11, -1)

• Final Answer:

Hence, the coordinates of the endpoint D is (-11, -1).