Question

The endpoints of segment MP areM(-2,-4) and P(8,11) . If K portions MP in a ratios of MK:KP= 1:4, what are the coordinates of K?

Answer 1

The coordinates of k are (-2,-1)

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)