# Graph 6x+6y<-54

6x+6y<-54
Solve for y.
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
Find the slope and the y-intercept for the boundary line.
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
<div data-graph-input="{"graphs":[{"ascii":"y
Graph 6x+6y<-54

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