Represent the following set of points in the XY plane :
$\{ ( x , y ) \; | \; |x| + |y| = 1 \}$
What i got:
1) if $x > 0, y > 0 : x = 1 - y$
2) if $x > 0, y < 0 : x = 1 + y$
3) if $x < 0, y > 0 : x = y - 1$
4) if $x < 0, y < 0 : x = -y -1$
Any help to solve this question would be greatly appreciated.
Thank you,