a line connecting coordinates (x,7) and (10, y) is selected at (8,0)

Question

find x
find y
find equation of line

Answer 1

since (8,0) divides the line into a proportion,

(8-x)/(10-x) = (0-7)/(y-7)
y = 14/(x-8)

There are many possible lines. A few possibilities are

x=9, y=14
x=10, y=7
x=15, y=2
x=22, y=1
x = -6, y = -1
x = 1, y = -2
x = 6, y = -7
x = 7, y = -14