Respuesta :
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 [tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]
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
[tex]m= \frac{x_1+x_2}{2}[/tex]
[tex]5= \frac{9+x_2}{2}[/tex]
multiply by 2 on both sides
10= 9+x1
subtract 9 from both sides
x2= 1
[tex]n=\frac{y_1+y_2}{2}[/tex]
[tex]-7=\frac{-7+y_2}{2}[/tex]
multiply by 2 on both sides
-14= -7+y2
add 7 on both sides
y2= -7
So other endpoint I is (1,-7)
