Answer:
L(18, 20)
Step-by-step explanation:
In JL, K is the midpoint. The coordinates of J are (2, 2), and the
coordinates of K are (10, 11). What are the coordinates of L?
Solution:
If O(x, y) is the midpoint between two points A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]). The equation to determine the location of O is given by:
[tex]x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}[/tex]
Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let ([tex]x_2,y_2[/tex]) be the coordinate of L. Therefore:
[tex]10=\frac{2+x_2}{2} \\\\20=2+x_2\\\\x_2=18[/tex]
[tex]11=\frac{2+y_2}{2} \\\\22=2+y_2\\\\y_2=20[/tex]
Therefore L = (18, 20)
