3x-3y=3

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

y=mx+b

Subtract 3x from both sides of the equation.

-3y=3-3x

Divide each term by -3 and simplify.

Divide each term in -3y=3-3x by -3.

-3y-3=3-3+-3x-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=3-3+-3x-3

Divide y by 1.

y=3-3+-3x-3

y=3-3+-3x-3

Simplify 3-3+-3x-3.

Simplify each term.

Divide 3 by -3.

y=-1+-3x-3

Cancel the common factor of -3.

Cancel the common factor.

y=-1+-3x-3

Divide x by 1.

y=-1+x

y=-1+x

y=-1+x

Reorder -1 and x.

y=x-1

y=x-1

y=x-1

y=x-1

Using the slope-intercept form, the slope is 1.

m=1

Find the Slope 3x-3y=3