9x+4y>-20

Subtract 9x from both sides of the inequality.

4y>-20-9x

Divide each term by 4 and simplify.

Divide each term in 4y>-20-9x by 4.

4y4>-204+-9×4

Cancel the common factor of 4.

Cancel the common factor.

4y4>-204+-9×4

Divide y by 1.

y>-204+-9×4

y>-204+-9×4

Simplify each term.

Divide -20 by 4.

y>-5+-9×4

Move the negative in front of the fraction.

y>-5-9×4

y>-5-9×4

y>-5-9×4

y>-5-9×4

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 -5 and -9×4.

y>-9×4-5

Rewrite in slope-intercept form.

y=-94x-5

y=-94x-5

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=-94

b=-5

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

Slope: -94

y-intercept: -5

Slope: -94

y-intercept: -5

Slope: -94

y-intercept: -5

Graph a dashed line, then shade the area above the boundary line since y is greater than -5-9×4.

y>-5-9×4

-5-(9x)/(4)","isGrey":false,"dashed":false,"holes":[]}],"asymptotes":[],"segments":[],"areaBetweenCurves":[],"points":[],"HasGraphInput":true}” class=”GraphWrapper”>

Graph 9x+4y>-20