# Graph 2x+3y>-5 2x+3y>-5
Solve for y.
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
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 -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”>
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