Thank you
Fabrice
\usemodule[pgfplots]
\pgfplotsset{compat=newest}
\starttext
\placefigure[right,none]{}{
\hbox{\framed{\switchtobodyfont[8pt]
\starttikzpicture[/pgf/declare function={g(\x)=3*\x +7;},/pgf/declare
function={f(\x)=-4*\x +1;},/pgf/declare function={h(\x)=2*\x -5;}]
\startaxis[
restrict x to domain=-20:20, xmax=20, xmin=-20,
restrict y to domain=-25:30, ymax=30, ymin=-25,
x=0.1cm,
y=0.1cm,
axis x line = middle,
axis y line = middle,
axis line style = thick,
major grid style=gray,
minor grid style=gray,
tickwidth=0.1cm,
xtick align=outside,
ytick align=outside,
grid=both,
xtick={-15,-10,...,15},
ytick={-20,-15,...,25},
xticklabels={\empty,\empty,\empty,\empty,5,\empty,\empty,\empty},
yticklabels={\empty,\empty,\empty,\empty,\empty,5,\empty,\empty,\empty,\empty,\empty,\empty},
extra x ticks={-20,20},
extra x tick label={\null},
extra y ticks={-25,30},
extra y tick label={\null},
extra tick style={tick style={draw=none}},
every tick/.style={
black,
thick,
},
y tick label style={
/pgf/number format/1000 sep={}
},
xlabel=$x$,ylabel=$y$,
every axis x label/.style={
at={(ticklabel* cs:1.01)},
anchor=west,
},
every axis y label/.style={
at={(ticklabel* cs:1.01)},
anchor=south,
},
samples=2000,
>=stealth,
]
\addplot [smooth,domain=-20:20,thick,darkblue] {f(x)} ;
\addplot [smooth,domain=-20:20,thick,darkred] {g(x)} ;
\addplot [smooth,domain=-20:20,thick,yellow] {h(x)} ;
\draw[thick,darkgreen](5,-25)--(5,30) ;
\node[below left=2pt] at (-0.1,-0.1,0) {\math{0}} ;
\stopaxis
\stoptikzpicture}}}
\startitemize[n]
\item On considère les droites \math{{\cal D}\,\colon x=5} et
\math{{\cal D'}\,\colon y=3x+7}.
\startitemize[a]
\item Que vaut l'abscisse du point d'intersection de \math{{\cal
D}} et \math{{\cal D'}} ?
\item Calculer alors son ordonnée.
\item Interpréter graphiquement le résultat sur le graphique.
\stopitemize
\item On considère les droites \math{\Delta \,\colon y=-4x+1} et
\math{\Delta '\,\colon y=2x-5}.
\startitemize[a]
\item Résoudre l'équation \math{-4x+1=2x-5}.
\item Donner une interprétation graphique de la solution obtenue.
\item Donner les coordonnées du point d'intersection de
\math{\Delta} et \math{\Delta '}.
\item Interpréter graphiquement le résultat sur le graphique.
\stopitemize
\stopitemize
\stoptext
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