Question

Find The Coordinates of point p witch cuts line segment AB into two parts with a ratio of 4:1

Answer 1

Answer:

Step-by-step explanation:

POint A : (-9,6) POint B (1,-9)

so

difference in x-direction = 1-(-9) = 10

difference in y-direction = -9-6 = -15

a ratio of 4:1 means p is 4/(4+1) = 4/5 away from A to B

10*4/5 = 8

-15 * 4/5 = -12

adding those to A:

-9+8 = -1

6+(-12) = -6

so p is at (-1, -6)

Answer 2

Answer:

Step-by-step explanation:

i solve the Q in graph instead of text:

A: (-15,18)

B: (7,7)

so  

difference in x-direction = 7-(-15) = 22

difference in y-direction = 7-18 = -11

a ratio of 3:8 means p is 3/(3+8) = 3/11 away from A to B

22*3/11 = 6

-11*3/11 = -3

adding those to A:

-15+6 = -9

18+(-3) = 15

so P is at (-9, 15)