Given the points M(-2,-4) and N(1, 5), find the point T that partitions MN in a ratio of 1:2.

Point T is (-1,1)

Step-by-step explanation:

Concept:

If there two points (x1,y1) and (x2,y2) which lies on coordinate plane and them it divided by point p in the ratio m:n then coordinate of point p is given by

p (nx1+mx2)/(m+n),   (ny1+my2)/(m+n)

Given

points M(-2,-4) and N(1, 5)

ratio : 1:2

point t  is  (2*-2+1*1)/(1+2),   (2*-4+1*5)/(1+2)

=>  (-4+1)/(3),   (-8+5)/(3)

=> -3/3 , 3/3

=> -1, -1

Thus, point T is (-1,1)