-2x-2y>-8

Add 2x to both sides of the inequality.

-2y>-8+2x

Divide each term by -2 and simplify.

Divide each term in -2y>-8+2x by -2. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

-2y-2<-8-2+2x-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2<-8-2+2x-2

Divide y by 1.

y<-8-2+2x-2

y<-8-2+2x-2

Simplify each term.

Divide -8 by -2.

y<4+2x-2

Cancel the common factor of 2 and -2.

Factor 2 out of 2x.

y<4+2(x)-2

Move the negative one from the denominator of x-1.

y<4-1⋅x

y<4-1⋅x

Rewrite -1⋅x as -x.

y<4-x

y<4-x

y<4-x

y<4-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 4 and -x.

y<-x+4

y<-x+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=-1

b=4

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

Slope: -1

y-intercept: 4

Slope: -1

y-intercept: 4

Slope: -1

y-intercept: 4

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

y<4-x

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