x-y<8

Subtract x from both sides of the inequality.

-y<8-x

Multiply each term in -y<8-x by -1

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.

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.

Multiply 8 by -1.

y>-8+(-x)⋅-1

Multiply (-x)⋅-1.

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

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 -8 and x.

y>x-8

y>x-8

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=-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