The midpoint of 𝑋𝑌 is M (8, 10). One endpoint is Y (1, 2). Find the coordinates of endpoint Y.

The correct answer is: (15, 18).

• Step by step explanation:

○        Given:
The midpoint of the line is M (8, 10).
one endpoint is Y( 1, 2 ).
○        Step 1:
○        Let the endpoint X 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:

( 1 + x₂ ) = 8  2 ,   ( 2 + y₂ ) = 10  2

1 + x₂ = 16,  2 + y₂ = 20

x₂ = 16 - 1, y₂ = 20 - 2

x₂ = 15 ,  y₂ = 18
Midpoint divides the line segment in two equal parts.
○        If Line has  two endpoints (x1, y1) and  (x2, y2) then midpoint of line segment will be 
Midpoint divides the line segment in two equal parts.
○        If Line has  two endpoints (x1, y1) and  (x2, y2) then midpoint of line segment will be 

(x₂, y₂)  = (15, 18)

• Final Answer:

Hence, the coordinates of the endpoint X is (15, 18).