2y-x<-8

Add x to both sides of the inequality.

2y<-8+x

Divide each term by 2 and simplify.

Divide each term in 2y<-8+x by 2.

2y2<-82+x2

Cancel the common factor of 2.

Cancel the common factor.

2y2<-82+x2

Divide y by 1.

y<-82+x2

y<-82+x2

Divide -8 by 2.

y<-4+x2

y<-4+x2

y<-4+x2

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 -4 and x2.

y<x2-4

Rewrite in slope-intercept form.

y=12x-4

y=12x-4

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=12

b=-4

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

Slope: 12

y-intercept: -4

Slope: 12

y-intercept: -4

Slope: 12

y-intercept: -4

Graph a dashed line, then shade the area below the boundary line since y is less than -4+x2.

y<-4+x2

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