1) Find the coordinates of point K that lies along the directed line segment from J(4, 1) to L(8, 11) and
partitions the segment in the ratio 3 to 1.
2) Find the coordinates of point Y that lies along the
directed line segment from X(-1, 3) to Z(5, 6) and
partitions the segment in the ratio 2 to 3.
3) Find the coordinates of point B that lies along the
directed line segment from A(-3, -2) to Z(7, 10) and
partitions the segment in the ratio 3 to 7.
4) Find the coordinates of point M that lies along the
directed line segment from L(-6, -3) to N(13, 4) and
partitions the segment in the ratio 4 to 1.
5) Points F, G, and H are collinear such that FG:FH = 1/3.
If a directed line segment begins at F(-5, -1) and ends at
H(4, -1), find the coordinates of point G.
6) Points P, Q, and R are collinear such that PQ:PR = 2/5.
If a directed line segment begins at P(2, -4) and ends at
R(2, 6), find the coordinates of point Q.
7) Points U, V, & W are collinear such that UV:UW = 3/8.
If a directed line segment begins at U(-4, 2) and ends at
W(8, 12), find the coordinates of point V.
8) Points A, P, and B are collinear such that AP:AB = 3/4.
If a directed line segment begins at A(-18, 4) and ends at
B(-6, 12), find the coordinates of point P.