Answer
$x+y=1$
Substituting $x=0$,
$(0)+y=1$
$y=1$
Hence, (0,1) is a point on the graph.
$x+y=1$
Substituting $x=1$,
$(1)+y=1$
$y=0$
Hence, (1,0) is a point on the graph.
Work Step by Step
To graph this equation, we find two ordered pair solutions of $x+y=1$.
To do this, we choose a value for one variable, x or y, and solve for the
other variable.
For example, if we let x=0 then $x+y=1$ becomes
$x+y=1$
$(0)+y=1$
$y=1$
Since $y=1$ when $x=0$, the ordered pair (0, 1) is a solution of $x+y=1$
Next, we let x=1
$x+y=1$
$(1)+y=1$
$y=0$
The ordered pair (1, 0) is a second solution.
The two solutions found so far allow us to draw the straight line that is the graph of all solutions of $x+y=1$
