Partitioning a Line Segment

The midpoint of MN is point P at (-4, 6). If point M is at (8, -2), what are the coordinates of point N?

(-16, 14)

The endpoints of CD are C(-8, 4) and D(6, -6). What are the coordinates of point P on CD such that P is (5/8) the length of the line segment from D?

(-2.75, 0.25)

The midpoint of RS is point T. What are the coordinates of point S?

(10, -7)

The endpoints of JK are J(-25, 10) and K(5, -20). What is the y-coordinate of point L, which divides JK into a 7:3 ratio?

-11

Segment EF is shown on the graph. What is the x-coordinate of the point that divides EF into a 2:3 ratio?

1.2

To find the coordinates of point L, the midpoint of JK, the equation M = (5+1/2) (3-7/2) can be used. What are the coordinates of point L?

L(3, -2)

Point T, the midpoint of segment RS, can be found using the formulas x =(1/2) (6 - 2) + 2 and y =(1/2) (4 - 6) + 6. What are the coordinates of point T?

T(4, 5)

Segment AB is shown on the graph. Which shows how to find the x-coordinate of the point that will divide into a 2:3 ratio using the formula

x =(2/5) (2+3) − 3