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
|
|
|
