Graph -2x-2y>-8

Math
-2x-2y>-8
Solve for y.
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Add 2x to both sides of the inequality.
-2y>-8+2x
Divide each term by -2 and simplify.
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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.
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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.
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Divide -8 by -2.
y<4+2x-2
Cancel the common factor of 2 and -2.
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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
Find the slope and the y-intercept for the boundary line.
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Rewrite in slope-intercept form.
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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.
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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
<div data-graph-input="{"graphs":[{"ascii":"y
Graph -2x-2y>-8

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