2x-2y=-8

Subtract 2x from both sides of the equation.

-2y=-8-2x

Divide each term by -2 and simplify.

Divide each term in -2y=-8-2x by -2.

-2y-2=-8-2+-2x-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2=-8-2+-2x-2

Divide y by 1.

y=-8-2+-2x-2

y=-8-2+-2x-2

Simplify each term.

Divide -8 by -2.

y=4+-2x-2

Cancel the common factor of -2.

Cancel the common factor.

y=4+-2x-2

Divide x by 1.

y=4+x

y=4+x

y=4+x

y=4+x

y=4+x

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

y=mx+b

Reorder 4 and x.

y=x+4

y=x+4

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

m=1

b=4

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

Slope: 1

y-intercept: 4

Slope: 1

y-intercept: 4

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

Replace the variable x with 0 in the expression.

f(0)=(0)+4

Simplify the result.

Add 0 and 4.

f(0)=4

The final answer is 4.

4

4

The y value at x=0 is 4.

y=4

y=4

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

Replace the variable x with 1 in the expression.

f(1)=(1)+4

Simplify the result.

Add 1 and 4.

f(1)=5

The final answer is 5.

5

5

The y value at x=1 is 5.

y=5

y=5

Create a table of the x and y values.

xy0415

xy0415

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

Slope: 1

y-intercept: 4

xy0415

Graph 2x-2y=-8