analytic geometry
posted by lex .
The segment joining (1,4), (2,2) is extended three times its own length. Find the terminal points.

let the end point be (x,y)
for the xcoordinate:
(x+1)/(2+1) = 3/1
x+1 =9
x = 8
for the ycoordinate:
(y4)/(24) = 3/1
y4 = 18
y = 14
one end point is (8,14)
we could have extended it the other way ...
(x2)(12) = 3/1
x2 = 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.