Question 60330
x – 3y > 6 [Re-write in the slope-intercept format by solving for y]
-3y>-x+6
-3y/-3<-x/-3+6/-3 [Switch the sign when multiplying or dividing by a negative number]
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y<1/3x-2
The y-intercept is (0, -2)
The x-intercept is (6, 0)
The slope is (1/3)
Graphing: Draw a dashed boundary line and shade all of the points below the dashed line.
{{{ graph( 300, 200, -5, 5, -5, 5, (1/3)x-2,(1/3)x-3, (1/3)x-4, (1/3)x-6, (1/3)x-7, (1/3)x-8), (1/3)x-5, (1/3)x-9 )}}}

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3x + 2y > 12 [Re-write in the slope-intercept format by solving for y]
2y>-3x+12
2y/2>-3/2x+12/2
y>-3/2x+6
The y-intercept is (0,6)
The x-intercept is (4, 0)

Graphing:  Draw a dashed line and shade all of the points above the dahsed line.
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{{{ graph( 300, 200, -2, 5, -5, 9, (-3/2)x+6, (-3/2)x+7, (-3/2)x+8, (-3/2)x+9), (-3/2)x+7, (-3/2)x+8, (-3/2)x+9, (-3/2)x+10, (-3/2)x+11, (-3/2)x+13 }}}

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Graph both lines together to get the area of overlap.  The area of overlap represents all of the points that the two lines have in common.
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