Answer:
The coordinates of k are (-2,-1)
Step-by-step explanation:
Here, we are interested in calculating the coordinates of point k.
Mathematically, we will use the internal division formula for this;
This would be;
(x,y) =( nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
where m = 1 , n = 4
x1 = -2 , x2 = 8
y1 = -4 , y2 = 11
we now make the substitutions into the formula;
(x,y) = 4(-2) + 1(-2)/(1+4) , 4(-4) + 1(11)/(4 + 1)
(x,y) = (-8-2)/5 , (-16 + 11)/5
(x,y) = -10/5 , -5/5
(x,y) = (-2, -1)
