Answer:
The coordinates are (-5,5)
Step-by-step explanation:
Here, we want to find the coordinates that divides the given line segment using the given ratio
Mathematically, the equation to use is the internal division formula
That will be;
(x,y) = (nx1 + mx2)/m + n , (ny1 + my2)/m + n
where m = 1
n = 4
(x1,y1) = ((-8,8)
(x2,y2) = (7,-7)
Substituting these values, we have
(x,y) = (4(-8) + 1(7))/(1+4) , (4(8) + 1(-7)/(1 + 4)
(x,y) = (-32 + 7)/5, (32 -7)/5
(x,y) = (-25/5), (25/5)
(x,y) = (-5,5)
