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Consider the following code.

f0(x)=3-x
    f1(x)=2x-6
    f2(x)=1+(1/3)x
    f1(x)=2*x-6
f2(x)=1+(1/3)*x
p=plot(f0(x),x,1,3.5,thickness=3)
 p+=plot(f1(x),x,2.7,4.5,thickness=3)
 p+=plot(f2(x),x,1,4.5,thickness=3)
 sol0=solve(f0==f1,x)
 sol1=solve(f0==f2,x)
 sol2=solve(f1==f2,x)
 p+=point((sol0[0].rhs(),f1(sol0[0].rhs())), rgbcolor=(0.26, 0.80, 0.50),size=60, zorder=10,axes_labels=['$x_1$','$x_2$'])
 p+=point((sol1[0].rhs(),f2(sol1[0].rhs())), rgbcolor=(0.26, 0.80, 0.50),size=60, zorder=10)
 p+=point((sol2[0].rhs(),f1(sol2[0].rhs())), rgbcolor=(0.26, 0.80, 0.50),size=60, zorder=10)
 p+=point((0,f2(sol2[0].rhs())), rgbcolor=(0.99, 0.86, 0.23),size=60, zorder=10)
 
zorder=10)

p+=point((0,0), rgbcolor=(0.99, 0.86, 0.23),size=60, zorder=10)
p+=line([(0,0),(0,f2(sol2[0].rhs()))],rgbcolor=(.5, 0.5, 0.69),thickness=3, zorder=8)
p+=point((sol1[0].rhs(),0), rgbcolor=(1, 0.1, 0.5),size=60, zorder=10)
p+=point((sol2[0].rhs(),0), rgbcolor=(1, 0.1, 0.5),size=60, zorder=10)
p+=line([(sol1[0].rhs(),0),(sol2[0].rhs(),0)],rgbcolor=(1, 0.5, 0.69),thickness=3, zorder=8)
p+=polygon([(sol0[0].rhs(),f1(sol0[0].rhs())),(sol1[0].rhs(),f2(sol1[0].rhs())),(sol2[0].rhs(),f1(sol2[0].rhs()))], rgbcolor=(0.9098, 0.3804, 0))
p+=text("$\\mathrm{Points }\\,\\, \\mathrm{intérieurs}$",(2.8,1.2), color='white')
p+=text("$x_2=3-x_1$",(1.9,.6),rotation=-44.0, horizontal_alignment='left')
p+=text("$x_2=2x_1-6$",(3.5,1.2),rotation=62.0, horizontal_alignment='left')
p+=text("$0$",(-.15,0.1), horizontal_alignment='center',color='black',fontsize=12)
p+=text("$x_2=1+(1/3)x_1$",(3,2.2),rotation=16.0, horizontal_alignment='center')
p+=line([(sol1[0].rhs(),0),(sol1[0].rhs(),f2(sol1[0].rhs()))],linestyle="--",color='black')
p+=line([(sol2[0].rhs(),0),(sol2[0].rhs(),f2(sol2[0].rhs())), (0,f2(sol2[0].rhs()))],linestyle="--",color='black')
p+=line([(0,0), (sol1[0].rhs(),0)],linestyle="--",color='black')
show(p,aspect_ratio=1,axes=[False, False])#,transparent=True)
 
In the precedent resulting plot, I would like that the axes be removed to replace the portion of
the horizontal axis between the yellow dot and the red dot on the horizontal axes because I need to place an dot
by a horizontal dashed line in place. line. Is it possible? 
 
And other Another question is how to display the value values of the points on the axes.
 
Last point Also, it seems there is no possibility to fill a polygon with a transparent color. 
 
An other question, Another question: how to have the ticks in computer modern because two fonts is not nice.
 
And last but not least, I have seen that opacity is normaly obtained normally obtained
by different word words as opacity or alpha according to the context.