2x+3y>-5

Subtract 2x from both sides of the inequality.

3y>-5-2x

Divide each term by 3 and simplify.

Divide each term in 3y>-5-2x by 3.

3y3>-53+-2×3

Cancel the common factor of 3.

Cancel the common factor.

3y3>-53+-2×3

Divide y by 1.

y>-53+-2×3

y>-53+-2×3

Simplify each term.

Move the negative in front of the fraction.

y>-53+-2×3

Move the negative in front of the fraction.

y>-53-2×3

y>-53-2×3

y>-53-2×3

y>-53-2×3

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 -53 and -2×3.

y>-2×3-53

Rewrite in slope-intercept form.

y=-23x-53

y=-23x-53

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=-23

b=-53

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

Slope: -23

y-intercept: -53

Slope: -23

y-intercept: -53

Slope: -23

y-intercept: -53

Graph a dashed line, then shade the area above the boundary line since y is greater than -53-2×3.

y>-53-2×3

-(5)/(3)-(2x)/(3)","isGrey":false,"dashed":false,"holes":[]}],"asymptotes":[],"segments":[],"areaBetweenCurves":[],"points":[],"HasGraphInput":true}” class=”GraphWrapper”>

Graph 2x+3y>-5