Point A is located at (3, 6) and point B is located at (10, −2) .
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.
x coordinate = 3 + [ 10 - 3] (1/4) = 3 + [ 7 ] (1/4) = 3 + 7/4 = 19/4
y coordinate = 6 + [ -2 - 6 ] (1/4) = 6 +[ -8 ] (1/4) = 6 -2 = 4
So the coordinate is (19/4, 4 ) = (4.75, 4)
+292 
