Question

consider the following relation.\\( y = -x + 1 \\)\
step 1 of 2: find four points contained in the inverse. express your values as an integer or simplified fraction.

Explanation:

Step1: Find inverse of the relation

Swap $x$ and $y$, solve for $y$:
$x = -y + 1$
$y = -x + 1$
(Note: This relation is its own inverse)

Step2: Pick $x$-values, compute $y$-values

Choose $x=0$: $y = -0 +1 =1$ → $(0,1)$
Choose $x=1$: $y = -1 +1 =0$ → $(1,0)$
Choose $x=2$: $y = -2 +1 =-1$ → $(2,-1)$
Choose $x=-1$: $y = -(-1) +1 =2$ → $(-1,2)$

Answer:

$\{(0,1), (1,0), (2,-1), (-1,2)\}$