2x-y=2

Subtract 2x from both sides of the equation.

-y=2-2x

Multiply each term in -y=2-2x by -1

Multiply each term in -y=2-2x by -1.

(-y)⋅-1=2⋅-1+(-2x)⋅-1

Multiply (-y)⋅-1.

Multiply -1 by -1.

1y=2⋅-1+(-2x)⋅-1

Multiply y by 1.

y=2⋅-1+(-2x)⋅-1

y=2⋅-1+(-2x)⋅-1

Simplify each term.

Multiply 2 by -1.

y=-2+(-2x)⋅-1

Multiply -1 by -2.

y=-2+2x

y=-2+2x

y=-2+2x

y=-2+2x

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Reorder -2 and 2x.

y=2x-2

y=2x-2

Find the values of m and b using the form y=mx+b.

m=2

b=-2

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 2

y-intercept: -2

Slope: 2

y-intercept: -2

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=2(1)-2

Simplify the result.

Multiply 2 by 1.

f(1)=2-2

Subtract 2 from 2.

f(1)=0

The final answer is 0.

0

0

The y value at x=1 is 0.

y=0

y=0

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=2(0)-2

Simplify the result.

Multiply 2 by 0.

f(0)=0-2

Subtract 2 from 0.

f(0)=-2

The final answer is -2.

-2

-2

The y value at x=0 is -2.

y=-2

y=-2

Create a table of the x and y values.

xy0-210

xy0-210

Graph the line using the slope and the y-intercept, or the points.

Slope: 2

y-intercept: -2

xy0-210

Graph 2x-y=2