SOLUTION: In what ratio does ( -5, -6 ) divide the line segment joining ( -9, -10 ) and ( 7, 6 )

Question 1197772: In what ratio does ( -5, -6 ) divide the line segment joining ( -9, -10 ) and ( 7, 6 )
Answer by ikleyn(52824) (Show Source): You can put this solution on YOUR website!
.
In what ratio does ( -5, -6 ) divide the line segment joining ( -9, -10 ) and ( 7, 6 )
~~~~~~~~~~~~~~

Let A = (-9,-10), B = (7,6) and C = (-5,-6).


Moving from A to B along the straigh line, connecting these points, 

we should cover 7 - (-9) = 16 units along x-axis and 6 - (-10) = 16 units along y-axis.


Moving from A to B, we meet point C in 4 units horizontally and 4 units vertically.


It means that point C divides the line segment AB in parts AC and CB that are in proportion 1:3.

Solved.

Alternatively, you may use the distance formula to determine the lengths of the partial interval AC and CB.

It will give you the same answer, but the computational work will be greater.

RELATED QUESTIONS
in what ratio does (-5, -6) divide the line segment joining (-9, -10) and (7, 6)... (answered by josgarithmetic)

In what ratio does the line segment joining x-y-2=0 divide the line segment... (answered by Edwin McCravy)

in what ratio does the x-axis divide the segment joining (-5,4) and... (answered by josgarithmetic)

Find the ratio in which the Y-axis divides the line segment joining the points (5,-6) and (answered by rothauserc)

In what ratio does line x-y-2=0 divide line segment joining the points (3,-1) and (8,9).... (answered by Fombitz,Theo)

Find the coordinates of the point dividing the line segment joining the points (26, 10)... (answered by Fombitz)

Find the length of the line segment joining (6, -5) and (1,... (answered by josgarithmetic)

The points A,B C and D divide the line segment AD in the ratio 5/2 : 4/3 : 5/6 ,... (answered by josgarithmetic,greenestamps)

What is the midpoint of the segment joining (3, 5) and (-6, 11)? (answered by jim_thompson5910)