SOLUTION: Can you help me with this assignment in analytic geometry: The segment joining (2,-4) and (9,3) is divided into two segments, one of which is ¾ as long as the other. Find the

Algebra.Com
Question 1079556: Can you help me with this assignment in analytic geometry:

The segment joining (2,-4) and (9,3) is divided into two segments, one of which is ¾ as long as the other. Find the point of division.
I need a complete solution. Can you graph it. Thank you!

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!




Notice that the line cuts right across the corners of the grid 
squares of the graph paper.

The upper (blue) part of the line [from (6,0) to (9,3) ]

cuts through the corners of 3 grid squares. 

and the lower (red) part of the line [from (2,-4) to (6,0) 

cuts through the corners of 4 grid squares.

So the blue part of the line is ¾ as long as the red part.

So one possible answer is (6,0).

But the answer could also be like the graph below

and the answer could be (5,-1).



So there are two possible answers (6,0), and (5,-1), depending on
whether the upper (blue) part of the line is ¾ as long as the 
lower (red) part of the line, or vice-versa.

Edwin

RELATED QUESTIONS

Can you help me with this assignment in analytic geometry: Find the coordinates of P... (answered by Edwin McCravy)
Can you help me with this assignment in analytic geometry: Find the equation of the... (answered by josgarithmetic)
Can you help me with this assignment in analytic geometry: Draw a line through the... (answered by josgarithmetic)
Can you help me with this assignment in analytic geometry: The distance between points (answered by josgarithmetic)
Can you help me with this assignment in analytic geometry: Find the distance of the... (answered by ikleyn)
Can you help me with this assignment in analytic geometry: Three consecutive vertices... (answered by Edwin McCravy)
Can you help me with this assignment in analytic geometry: Show that each of the... (answered by Boreal)
The segment joining (2, -4) (9, 3) is divided into two segments, one of w/c is... (answered by ikleyn)
the segment joining (2, -4) and (9, 3) id divided into segments one which is... (answered by josgarithmetic)