If point c(-1,2) divides the line segment AB in the ratio 3:4 ,where A is (2,5),find the coordinates of B.?

Answer 1

Hi, How are you!
Well i also had some problem with these kind of problems when i was in a high school.
any way here is a solution.

A is (2,5) and another point B's coordinates is (X2,Y2).
C(-1,2) is dividing AB segment in 3:4(m:n) ratio.

therefor, X= (mX2 +nX1) /(m+n) and Y = (mY2 +nY1) /(m+n)

here X = -1, X1 = 2 , m= 3 ,n = 4 and Y= 2, Y1 = 5

there for -1= ((3)X2+(4)(2))/(3+4)
there for -7=((3)X2+8) therefor 3X2= -15 so X2 =-5

For Y2,

2=((3)Y2+(4)(5))/(3+4)
therefor 14=((3)Y2+20)
so ((3)Y2)= -6 and therefor Y2= -2

so coordinator of B is (-5, -2) which make seance to me!

now best of luck with other problems.

Answer 2

Draw a xy coordinator and locate points A and C on the coordinator. You will find that the coordinates of B is (2,1)