HW#4

Given the directed line segment $$\overline{AB}$$ , find the coordinates of P such that the ratio of AP to PB is 2:1.

Write the coordinates as (X,Y)

(a)  

Given the directed line segment $$\overline{QS}$$ .

Find the coordinates of R such that the ratio of QR to RS is 3:5.

• Write your answer as (X,Y)

• *do not forget the ( ) and the, no spaces*

Given the directed line segment $$\overline{KM}$$ .

Find the coordinates of L such that the ratio of KL to KM is 1:3.

Given the directed line segment $$\overline{CD}$$ .

If point E divides CD three-fourths of the way from C to D,

find the coordinates of E.

Given $$\overline{AC}$$ with $$A\left(3,4\right)$$ and $$C\left(-9,-2\right)$$ ,

if B partitions AC such that the ratio of AB to BC is 1:5,

Find the coordinates of B.

(a)  

Given $$\overline{WY}$$ with $$W\left(3,7\right)$$ and $$Y\left(13,-8\right)$$ ,

if X partitions WY such that the ratio of WX to XY is 3:2,

Find the coordinates of X.

(a)  

Given $$\overline{AB}$$ with $$A\left(8,\ -4\right)$$ and $$B\left(-6,-11\right)$$ ,

if P partitions AB such that the ratio of AP to AB is 2:7,

Find the coordinates of P.

(a)  

Given $$\overline{XZ}$$ with $$X\left(-4,3\right)$$ and $$Z\left(6,-2\right)$$ ,

Find the coordinates of Y if Y divides XZ one-fifth of the way from X to Z.

(a)  

Given $$\overline{DF}$$ with $$D\left(-1,11\right)$$ and $$F\left(-9,-5\right)$$ ,

if E partitions DF such that the ratio of DE to DF is 5:8,

Find the coordinates of E.

Given $$\overline{JL}$$ with $$J\left(8,-8\right)$$ and $$L\left(-16,-2\right)$$ ,

find the coordinates of K if K divides JL two-thirds of the way from J to L.