Posted by **lex** on Sunday, July 14, 2013 at 5:06am.

The segment joining (-1,4), (2,-2) is extended three times its own length. Find the terminal points.

- analytic geometry -
**Reiny**, Sunday, July 14, 2013 at 7:07am
let the end point be (x,y)

for the x-coordinate:

(x+1)/(2+1) = 3/1

x+1 =9

x = 8

for the y-coordinate:

(y-4)/(-2-4) = 3/1

y-4 = -18

y = -14

one end point is (8,-14)

we could have extended it the other way ...

(x-2)(-1-2) = 3/1

x-2 = -9

x= -7

(y+2)/(4+2) = 3/1

y+2 = 18

y = 16

in that direction the point is (-7,16)

check my arithmetic.

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