6x+6y<-54

Subtract 6x from both sides of the inequality.

6y<-54-6x

Divide each term by 6 and simplify.

Divide each term in 6y<-54-6x by 6.

6y6<-546+-6×6

Cancel the common factor of 6.

Cancel the common factor.

6y6<-546+-6×6

Divide y by 1.

y<-546+-6×6

y<-546+-6×6

Simplify each term.

Divide -54 by 6.

y<-9+-6×6

Cancel the common factor of -6 and 6.

Factor 6 out of -6x.

y<-9+6(-x)6

Cancel the common factors.

Factor 6 out of 6.

y<-9+6(-x)6(1)

Cancel the common factor.

y<-9+6(-x)6⋅1

Rewrite the expression.

y<-9+-x1

Divide -x by 1.

y<-9-x

y<-9-x

y<-9-x

y<-9-x

y<-9-x

y<-9-x

Rewrite in slope-intercept form.

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

y=mx+b

Reorder -9 and -x.

y<-x-9

y<-x-9

Use the slope-intercept form to find the slope and y-intercept.

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

m=-1

b=-9

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

Slope: -1

y-intercept: -9

Slope: -1

y-intercept: -9

Slope: -1

y-intercept: -9

Graph a dashed line, then shade the area below the boundary line since y is less than -9-x.

y<-9-x

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