Graph -3x-2y>6

Math
-3x-2y>6
Solve for y.
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Add 3x to both sides of the inequality.
-2y>6+3x
Divide each term by -2 and simplify.
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Divide each term in -2y>6+3x by -2. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
-2y-2<6-2+3x-2
Cancel the common factor of -2.
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Cancel the common factor.
-2y-2<6-2+3x-2
Divide y by 1.
y<6-2+3x-2
y<6-2+3x-2
Simplify each term.
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Divide 6 by -2.
y<-3+3x-2
Move the negative in front of the fraction.
y<-3-3×2
y<-3-3×2
y<-3-3×2
y<-3-3×2
Find the slope and the y-intercept for the boundary line.
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Rewrite in slope-intercept form.
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The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder -3 and -3×2.
y<-3×2-3
Rewrite in slope-intercept form.
y=-32x-3
y=-32x-3
Use the slope-intercept form to find the slope and y-intercept.
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Find the values of m and b using the form y=mx+b.
m=-32
b=-3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -32
y-intercept: -3
Slope: -32
y-intercept: -3
Slope: -32
y-intercept: -3
Graph a dashed line, then shade the area below the boundary line since y is less than -3-3×2.
y<-3-3×2
<div data-graph-input="{"graphs":[{"ascii":"y
Graph -3x-2y>6

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