To find the point that divides the segment into a 2:3 partition, a formula can be used. The formula is:
[ x1 + (ratio)*(x2 - x1) , y1 + (ratio)*(y2 - y1) ]
Substituting the given values:
[ -3 + (2/5)*(3 + 3) , 1 + (2/5)*(5 - 1) ]
(-0.6 , 2.6)
Therefore, the point P that divides segment AB into a 2:3 ratio is found at (-0.6 , 2.6).
