SOLUTION: If point C is (-1,-4) and point A is (7,4), find the coordinates of point B on CA such that CB is 1/4 of CA.

Algebra ->  Points-lines-and-rays -> SOLUTION: If point C is (-1,-4) and point A is (7,4), find the coordinates of point B on CA such that CB is 1/4 of CA.      Log On


   

Question 1178820: If point C is (-1,-4) and point A is (7,4), find the coordinates of point B on CA such that CB is 1/4 of CA.
Answer by ikleyn(52812) About Me  (Show Source):
You can put this solution on YOUR website!
.

Vector CA has components  dx = 7 - (-1) = 8  and  dy = 4 - (-4) = 8:

       CA = (8,8).


Therefore, vector CB has components (2,2).


Hence, the point B has coordinates  x= -1+2 = 1  and  y = -4 + 2 = -2:

       B = (1,-2).

Solved.