document.write( "Question 388409: Referring to the figure, match the system of linear inequalities with its graph.\r
\n" ); document.write( "\n" ); document.write( "*A -x + y < 2
\n" ); document.write( "-x + y ≥ -2 \r
\n" ); document.write( "\n" ); document.write( "*B -x + y > 2
\n" ); document.write( "x + y ≤ -2\r
\n" ); document.write( "\n" ); document.write( "*C -x + y > -2
\n" ); document.write( "x + y ≤ 2\r
\n" ); document.write( "\n" ); document.write( "*D -x + y ≤ 2
\n" ); document.write( "x + y < 2\r
\n" ); document.write( "\n" ); document.write( "This graph is located at this cut and paste link http://ppstest2.com/images2/AL7004.jpg \n" ); document.write( "

Algebra.Com's Answer #274793 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi,  
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document.write( "One can tell much about a line according to the slant & y-intercept
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document.write( "For graph http://ppstest2.com/images2/AL7004.jpg
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document.write( " B would be the correct choice as explained below:
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document.write( "Note: the standard slope-intercept form for an equation of a line y = mx + b 
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document.write( " where m is the slope and b the y-intercept.  
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document.write( "Below have identified according to the characteristics of the lines themsleves
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document.write( "*A Parallel Lines (slopes equal): Pick that corresponding graph 
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document.write( "   -x + y < 2 OR y < x+2 dotted line on graph
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document.write( "   -x + y ≥ -2   y ≥ x-2 
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document.write( "*B Non-parallel Lines: one with slanting right dotted with y-intercept (0,2) 
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document.write( "   -x + y > 2  OR y > x+2 dotted line on graph, slanting right (m>0)
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document.write( "    x + y ≤ -2 OR y ≤ -x - 2 slants left\r
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document.write( "*C Non-parallel Lines: one with slanting right dotted with y-intercept (0,-2) 
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document.write( "   -x + y > -2 OR y > x - 2 dotted line slanting right (m>0)
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document.write( "    x + y ≤ 2     y ≤ -x + 2 
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document.write( "*D Non-parallel Lines: one with slanting left dotted with y-intercept (0,2)    
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document.write( "   -x + y ≤ 2  OR y ≤ x + 2  
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document.write( "    x + y < 2     y < -x + 2  dotted line slanting left (m<0)
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document.write( "do recommend looking carefully at the shaded areas on Your graphs, however,
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document.write( " to best understand systems with inequalities.  
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