Graph x-y<8

Math
x-y<8
Solve for y.
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Subtract x from both sides of the inequality.
-y<8-x
Multiply each term in -y<8-x by -1
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Multiply each term in -y<8-x by -1. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
(-y)⋅-1>8⋅-1+(-x)⋅-1
Multiply (-y)⋅-1.
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Multiply -1 by -1.
1y>8⋅-1+(-x)⋅-1
Multiply y by 1.
y>8⋅-1+(-x)⋅-1
y>8⋅-1+(-x)⋅-1
Simplify each term.
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Multiply 8 by -1.
y>-8+(-x)⋅-1
Multiply (-x)⋅-1.
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Multiply -1 by -1.
y>-8+1x
Multiply x by 1.
y>-8+x
y>-8+x
y>-8+x
y>-8+x
y>-8+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 -8 and x.
y>x-8
y>x-8
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=-8
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
y-intercept: -8
Slope: 1
y-intercept: -8
Slope: 1
y-intercept: -8
Graph a dashed line, then shade the area above the boundary line since y is greater than -8+x.
y>-8+x
-8+x","isGrey":false,"dashed":false,"holes":[]}],"asymptotes":[],"segments":[],"areaBetweenCurves":[],"points":[],"HasGraphInput":true}” class=”GraphWrapper”>
Graph x-y<8

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