8x-2y=8

Subtract 8x from both sides of the equation.

-2y=8-8x

Divide each term by -2 and simplify.

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

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

Cancel the common factor of -2.

Cancel the common factor.

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

Divide y by 1.

y=8-2+-8x-2

y=8-2+-8x-2

Simplify each term.

Divide 8 by -2.

y=-4+-8x-2

Cancel the common factor of -8 and -2.

Factor -2 out of -8x.

y=-4+-2(4x)-2

Cancel the common factors.

Factor -2 out of -2.

y=-4+-2(4x)-2(1)

Cancel the common factor.

y=-4+-2(4x)-2⋅1

Rewrite the expression.

y=-4+4×1

Divide 4x by 1.

y=-4+4x

y=-4+4x

y=-4+4x

y=-4+4x

y=-4+4x

y=-4+4x

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 4x.

y=4x-4

y=4x-4

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

m=4

b=-4

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

Slope: 4

y-intercept: -4

Slope: 4

y-intercept: -4

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

Replace the variable x with 1 in the expression.

f(1)=4(1)-4

Simplify the result.

Multiply 4 by 1.

f(1)=4-4

Subtract 4 from 4.

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)=4(0)-4

Simplify the result.

Multiply 4 by 0.

f(0)=0-4

Subtract 4 from 0.

f(0)=-4

The final answer is -4.

-4

-4

The y value at x=0 is -4.

y=-4

y=-4

Create a table of the x and y values.

xy0-410

xy0-410

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

Slope: 4

y-intercept: -4

xy0-410

Graph 8x-2y=8