6x+6y=30

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

y=mx+b

Subtract 6x from both sides of the equation.

6y=30-6x

Divide each term by 6 and simplify.

Divide each term in 6y=30-6x by 6.

6y6=306+-6×6

Cancel the common factor of 6.

Cancel the common factor.

6y6=306+-6×6

Divide y by 1.

y=306+-6×6

y=306+-6×6

Simplify 306+-6×6.

Simplify each term.

Divide 30 by 6.

y=5+-6×6

Cancel the common factor of -6 and 6.

Factor 6 out of -6x.

y=5+6(-x)6

Cancel the common factors.

Factor 6 out of 6.

y=5+6(-x)6(1)

Cancel the common factor.

y=5+6(-x)6⋅1

Rewrite the expression.

y=5+-x1

Divide -x by 1.

y=5-x

y=5-x

y=5-x

y=5-x

Reorder 5 and -x.

y=-x+5

y=-x+5

y=-x+5

y=-x+5

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

m=-1

Find the Slope 6x+6y=30