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.Com
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(52813)   (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.



RELATED QUESTIONS

In isosceles triangle ABC, CA~=CB. If D is a point on AC between A and C, prove... (answered by ikleyn)
a directed line segment AB with A(1,3) and B(8,4) is partitioned by point C such that AC... (answered by solver91311,greenestamps)
Points A and B are separated by a lake. To find the distance between them, a surveyor... (answered by Theo)
7. Which angle or angles are complementary to AOF ? (1 point) COE and FOB AOC... (answered by richard1234)
I’m triangle ABC, BC=13, CA=14, and AB=15. If D is a point on line CA such that line BD... (answered by ikleyn)
Find the coordinates of the point on AB that is 1/4 the distance from A to B for A(8,3)... (answered by checkley71)
if {{{(bx - ay)/b = (cy - bz)/c = (az - cx)/a}}} and given that {{{bx!=ay}}}... (answered by Edwin McCravy)
The vertices of a triangle ABC A(2,4) B(-2,0) and C(6,-1). (a) Find the coordinate of... (answered by MathLover1)
In the trapezium OABC, OA = a, OC = c and CB = 3a. T is the point on BC such that BT: TC (answered by ikleyn)