# Graph 9x+4y>-20 9x+4y>-20
Solve for y.
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
Find the slope and the y-intercept for the boundary line.
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”>
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