Partitioning a Line Segment

The endpoints of RS are R(-5, 12) and S(4, -6). What are the coordinates of point T, which divides RS into a 4:5 ratio?

(-1,4)

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 midpoint of JK is point L at (-1, 8). One endpoint is J(4, -15). Which equations can be solved to determine the coordinates of the other endpoint, K? Check all that apply.

(4+x1)/2 =-1 -15+y1=16

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. E(-4,-8) and F(9,3) What is the x-coordinate of the point that divides EF into a 2:3 ratio?

1.2

Line segment XY has endpoints X(-10, -1) and Y(5, 15). To find the y-coordinate of the point that divides the directed line segment in a 5:3 ratio,

9

Point A is at -4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?

For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 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)

If the endpoints of AB are A(-2, 3) and B(1, 8), which shows the correct way to determine the coordinates of point C, the midpoint of AB?

M= ( (-2+1)/2), ( (3+8)/2)

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