Answer:
(-9, 10)
Step-by-step explanation:
The location of the midpoint of a line with endpoint at ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) is given as (x, y). The location of x and y are:
[tex]x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}[/tex]
Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:
[tex]0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10[/tex]
Hence the endpoint is at (x2, y2) which is at (-9, 10)
