SOLUTION: The segment from (-1,4) to (2,-2) is extended three times its own length. What is the terminal point?

Algebra ->  Triangles -> SOLUTION: The segment from (-1,4) to (2,-2) is extended three times its own length. What is the terminal point?       Log On


   

Question 1080175: The segment from (-1,4) to (2,-2) is extended three times its own length. What is the terminal point?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So let's do this in pieces.
First the x distance.
From x=-1 to x=2 is dx=2-%28-1%29=2%2B1=3
Now the y-distance,
From y=4 to y=-2 is dy=-2-4=-6
So then start from (-1,4) and increase the distance three times,
x first,
-1%2B3%2Adx=-1%2B3%283%29=-1%2B9=8
Then y,
4%2B3%2Ady=4%2B3%28-6%29=4-18=-14
So then the terminal point is,
(8,-14)
.
.
.
When I re-read the problem, I wasn't sure if the new line segment begins at (-1,4) (as I did above) or if it begins at (2,-2).
Here's the solution if it starts at (2,-2),
x first,
2%2B3%2Adx=2%2B3%283%29=2%2B9=11
Then y,
-2%2B3%2Ady=-2%2B3%28-6%29=-2-18=-20
(11,-20)