Question 1132227
{{{x + 2y<=6}}}

First, we need to draw the line {{{x + 2y=6}}}

you need two points to do it

{{{x}}}|{{{y}}}
{{{0}}}|{{{3}}}->{{{0+ 2y=6}}}->{{{ y=6/2}}}->{{{ y=3}}}
{{{6}}}|{{{0}}}->{{{x+ 2*0=6}}}->{{{x=6}}}


{{{drawing ( 600, 600, -10,10, -10, 10,
circle(0,3,.12),circle(6,0,.12),

locate(0,3.5,p(0,3)),locate(6,0.5,p(6,0)),
graph( 600, 600, -10,10, -10, 10,-x/2+3)) }}} 


since you are  given {{{x + 2y<=6}}}, your solution is a line including the area below the line 

so,  you need to draw  a solid line and shade the area below the line

{{{drawing ( 600, 600, -10,10, -10, 10,
circle(0,3,.12),circle(6,0,.12),

locate(0,3.5,p(0,3)),locate(6,0.5,p(6,0)),
graph( 600, 600, -10,10, -10, 10,y<=-x/2+3)) }}}