# Graph x+y=1 x+y=1
Subtract x from both sides of the equation.
y=1-x
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder 1 and -x.
y=-x+1
y=-x+1
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b.
m=-1
b=1
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -1
y-intercept: 1
Slope: -1
y-intercept: 1
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=-(0)+1
Simplify the result.
Multiply -1 by 0.
f(0)=0+1
Add 0 and 1.
f(0)=1
The final answer is 1.
1
1
The y value at x=0 is 1.
y=1
y=1
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=-(1)+1
Simplify the result.
Multiply -1 by 1.
f(1)=-1+1
Add -1 and 1.
f(1)=0
The final answer is 0.
0
0
The y value at x=1 is 0.
y=0
y=0
Create a table of the x and y values.
xy0110
xy0110
Graph the line using the slope and the y-intercept, or the points.
Slope: -1
y-intercept: 1
xy0110
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