x+y=1

Subtract x from both sides of the equation.

y=1-x

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

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

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

Graph x+y=1