(-8, -7) to (9,−6) that partitions the segment into a ratio of 3 to 1?
We can find the partition point thusly :
[ (-8) + (3/4)(9 - -8) , -7 + (3/4)(-6 - -7) ] =
[ -8 + (3/4) (17) , -7 + (3/4)(1) ] =
[-8 + 51/4 , -7 + 3/4] =
(19/4, -25/4)