
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find the number of square units in the area of the triangle.

[asy]size(125);
draw( (-10,-2) -- (2,10), Arrows);
draw( (0,-2)-- (0,10) ,Arrows);
draw( (5,0) -- (-10,0),Arrows);

label("$l$",(2,10), NE);
label("$x$", (5,0) , E);
label("$y$", (0,-2) , S);
filldraw( (-9,0) -- (0,9) -- (0,0) -- cycle, lightgray);
dot( (-3, 6)); dot( (-6, 3)); label( "(-3, 6)", (-3, 6), W, fontsize(10)); label( "(-6, 3)", (-6, 3), W, fontsize(10));
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
user