-x<0.1y

Rewrite so y is on the left side of the inequality.

0.1y>-x

Divide each term by 0.1 and simplify.

Divide each term in 0.1y>-x by 0.1.

0.1y0.1>-x0.1

Cancel the common factor of 0.1.

y>-x0.1

Simplify -x0.1.

Move the negative in front of the fraction.

y>-x0.1

Multiply by 1.

y>-1×0.1

Factor 0.1 out of 0.1.

y>-1×0.1(1)

Separate fractions.

y>-(10.1⋅x1)

Divide 1 by 0.1.

y>-(10×1)

Divide x by 1.

y>-(10x)

Multiply 10 by -1.

y>-10x

y>-10x

y>-10x

y>-10x

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Find the values of m and b using the form y=mx+b.

m=-10

b=0

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

Slope: -10

y-intercept: 0

Slope: -10

y-intercept: 0

Graph a dashed line, then shade the area above the boundary line since y is greater than -10x.

y>-10x

-10x","isGrey":false,"dashed":false,"holes":[]}],"asymptotes":[],"segments":[],"areaBetweenCurves":[],"points":[],"HasGraphInput":true}” class=”GraphWrapper”>

Graph -x<0.1y