SOLUTION: Line segment CD has endpoints (-3,8) and (1,-5). What are the coordinates of the point that divides CD in the ratio of 3:7?

Algebra.Com
Question 1104944: Line segment CD has endpoints (-3,8) and (1,-5). What are the coordinates of the point that divides CD in the ratio of 3:7?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Line segment CD has endpoints (-3,8) and (1,-5). What are the coordinates of the point that divides CD in the ratio of 3:7?
-------
Ratio 3:7 --> 3/10 for x, 7/10 for y if it's closer to point C.
Find the x & y separately.
---
For x:
-3 to 1 --> +4 units
(3/10)*4 = 1.2
-3 + 1.2 = -1.8
====================
For y:
8 to -5 --> -13 units
(3/10)*-13 = -3.9
8 -3.9 = 4.1
=================
Point is (-1.8,4.1)

RELATED QUESTIONS

Line segment AB has end points (7,2) and (4,6). What are the coordinates of the point... (answered by Fombitz)
Line segment AB has endpoints at (-5,3) and (-7,-5). What are the coordinates of its... (answered by josgarithmetic,ikleyn)
calculate the slope of line segment cd if cd endpoints are (-1,3)and (2,9) (answered by lwsshak3)
The coordinate points of a parallelogram are A(-3,-1) B(-1,7) C(2,2) D(0,-6). (a) What... (answered by stanbon)
Point P is on the directed line segment from point X(−6, −2) to point Y(6,7)... (answered by josmiceli)
what are the coordinates of the midpoint of the line segment with endpoints (2 -5) and (8 (answered by josgarithmetic)
Given the points A(-2, 1) and B(4, 5), determine the coordinates of point P on directed... (answered by Edwin McCravy)
The coordinates of the endpoints of AB and CD are A(2, 3), B(8, 1), C(5, 2), and D(6,... (answered by solver91311)
a line segment has endpoints A(7,-1) and B(-3,3).What are the coordinates of the midpoint (answered by josmiceli)