Question 1180596: Point P(1,0) partitions MN in the ratio of 5:4. The coordinates of M are
(-4,5). Find the coordinates of N. Found 2 solutions by Edwin McCravy, greenestamps:Answer by Edwin McCravy(20055) (Show Source):
You can put this solution on YOUR website! Point P(1,0) partitions MN in the ratio of 5:4. The coordinates of M are
(-4,5). Find the coordinates of N.
We draw the two points and connect them:
We see that the line cuts through 5 squares diagonally
from M to P. Now we want to extend MP to N so that
the ratio of MP:PN = 5:4.
Since MP is 5 diagonals of squares, we will have the 5:4
ratio if we extend MP by 4 diagonals of squares. So we
do that:
So we look to see what point it ended up on, and we can
see that it ended up at (5,-4), So the coordinaters of N
are (5,-4).
MP is 5 diagonals of squares, and PN is 4 diagonals of squares,
So MP:PN = 5:4.
Edwin
