Question 388407
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Hi,  following posted as answer to A-D
for the graph http://ppstest2.com/images2/AL7002.jpg
A would be the correct choice as explained below:

One can tell much about a line according to the slant & y-intercept
Note: the standard slope-intercept form for an equation of a line y = mx + b 
 where m is the slope and b the y-intercept.  
Below have identified according to the characteristics of the lines themsleves
*A Parallel Lines (slopes equal): Pick that corresponding graph 
   -x + y < 2 OR y < x+2 dotted line on graph
   -x + y &#8805; -2   y &#8805; x-2 
*B Non-parallel Lines: one with slanting right dotted with y-intercept (0,2) 
   -x + y > 2  OR y > x+2 dotted line on graph, slanting right (m>0)
    x + y &#8804; -2 OR y &#8804; -x - 2 slants left

*C Non-parallel Lines: one with slanting right dotted with y-intercept (0,-2) 
   -x + y > -2 OR y > x - 2 dotted line slanting right (m>0)
    x + y &#8804; 2     y &#8804; -x + 2 
*D Non-parallel Lines: one with slanting left dotted with y-intercept (0,2)    
   -x + y &#8804; 2  OR y &#8804; x + 2  
    x + y < 2     y < -x + 2  dotted line slanting left (m<0)
do recommend looking carefully at the shaded areas on Your graphs, however,
 to best understand systems with inequalities.