Find the coordinates of p so that p partitions the segment AB in the ratio 1:3 if A(-4,13) and B(-2,0)

Question

A. (-3.5, 9.75)

B. (4.5, -16.25)

C. (-13,2)

D. (0.5,-3.25)

Answer 1

A-----p---------------B

(-4,13) (-2,0)

the ratio is 1 to 3 which means the segment is divided into 4 equal segments

13 to 0 is 13 units, 13/4=3.25

13 to 0 is a decrease of 13

so decrease 13 by 3.25

13-3.25=9.75

-4 to -2 is 2 units

2/4=0.5

-4 to -2 is an increase of 2

so increase -4 by 0.5 to get -3.5

A.(-3.5, 9.75)