Point A is located at (4, 9) and point B is located at (12,−5) .What are the coordinates of the point that partitions the directed line segment AB⎯⎯⎯⎯⎯ in a 1:3 ratio?Enter your answer, as decimals, in the boxes.
Question
Answer:
use the formula: x=x1+k(x2-x1), y=y1+k(y2-y1), k is the ratio of the first segment to the whole line segment. in this case, k=1/4so x=[4+1/4(12-4)]=6
y=[9+1/4(-5-9)]=5.5
so the answer is (6, 5.5)
solved
general
10 months ago
1237