The initial equation is:
[tex]x+y=1[/tex]
To know the intercept in y we replace x=0 so:
[tex]\begin{gathered} 0+y=1 \\ y=1 \end{gathered}[/tex]
Then we replace y=0 to find the intercept in x so:
[tex]\begin{gathered} x+0=1 \\ x=1 \end{gathered}[/tex]
So the two coordinates will be:
[tex](0,1)\text{ and }(1,0)[/tex]
So we can graph:
