Just An Absolute

Algebra Level 3

The graph of $|x|$ is V-shaped.

What is the shape of

$|x + y | = 1 ?$

Notation : $| \cdot |$ denotes the absolute value function .

Circle V-shaped 2 straight lines Square

2 solutions

Sabhrant Sachan
Jul 14, 2016

$|x+y|=1 \implies x+y=\pm 1 \\ \boxed{y=\pm1-x} \\ \text{Which represents two straight lines in the x-y plane}$

Hana Wehbi
Jul 13, 2016

The graph is going to be two parallel lines, one that goes through $(0,1) \ and (1,0)$ and the other goes through $(-1,0) \ and (0,-1)$