Question

The midpoint of kl is m(5, –7). one endpoint is k(9, –7). find the coordinates of the other endpoint l.

Answer 1

The coordinates of point l are (1, -7)

Answer 2

other endpoint I is (1,-7)

Explanation:

The midpoint of kl is m(5, –7). one endpoint is k(9, –7)

LEt the other end point is (x2, y2)

Midpoint formula (m,n) is
`((x_1+x_2)/(2) , (y_1+y_2)/(2))`

The midpoint of kl is (5, –7) m=5, n= -7

one endpoint is k(9, –7) x1= 9 , y1= -7

Plug in the values in midpoint formula

`m= (x_1+x_2)/(2)`

`5= (9+x_2)/(2)`

multiply by 2 on both sides

10= 9+x1

subtract 9 from both sides

x2= 1

`n=(y_1+y_2)/(2)`

`-7=(-7+y_2)/(2)`

multiply by 2 on both sides

-14= -7+y2

add 7 on both sides

y2= -7

So other endpoint I is (1,-7)