Line Segment Partition

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

• 
• 
• 
• 

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1

• (3.75, 2.5)

• (3.75, 3.5)

• (4.75, 1.5)

• (5.75, 1.5)

Find the midpoint of point J and K

• (-3,3)

• (1,3)

• (-1,3)

• (2, 2.5)

• Choice (1)

• Choice (2)

• Choice (3)

• Choice (4)

What is the midpoint between (8, -3) and (2, 5)

• (5, 1)

• (10, 2)

• (-5, -1)

• (3, 4)

Determine the coordinate of P that partitions JK such that JP to PK is at a ratio of 1:1

• (-3,3)

• (1,3)

• (-1,3)

• (2, 2.5)

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with AP to PB with the ratio 3:1

• (15/4, 5/2)

• (15/4, 7/2)

• (19/4, 3/2)

• (23/4, 3/2)

Find the point P that partitions the line segment DC with DP to PC having the ratio 2:5

• (-11/7, 22/7)

• (0,0)

• (-1, 2)

• (4/7, -8/7)

what is the formula for line segment partitioning?

• (X1+k(X2-X1), Y1+k(Y2-Y1))

• (k(Y1+Y2)+Y1, k(X2+X1)+X1)

• (X1+k(X2+X1), Y1+k(Y2+Y1))

• (Y1+k(X2-X1), X1+k(Y2-Y1))

Given that line WY with W(3,7) and Y(13,-8), if point X partitions WY such that the ratio of WX to XY is 3:2 find the coordinates of X.