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

Answer:

other endpoint I is (1,-7)

Step-by-step 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 $(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})$

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

$m= \frac{x_1+x_2}{2}$

$5= \frac{9+x_2}{2}$

multiply by 2 on both sides

10= 9+x1

subtract 9 from both sides

x2= 1

$n=\frac{y_1+y_2}{2}$

$-7=\frac{-7+y_2}{2}$

multiply by 2 on both sides

-14= -7+y2

add 7 on both sides

y2= -7

So other endpoint I is (1,-7)

Answer 2

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