Question

*BRAINIEST & 25 POINTS*

Answer 1

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)