Draw the graphs of the equations `x y+1=0` and `3x+2y 12=0`. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.

Explanation

To solve the problem step by step, we will first graph the equations given, then determine the coordinates of the vertices of the triangle formed by these lines and the x-axis.

### Step 1: Rewrite the equations in slope-intercept form
1. The first equation is \( x - y + 1 = 0 \). Rearranging gives:
\[ y = x + 1 \]
2. The second equation is \( 3x + 2y - 12 = 0 \). Rearranging gives:
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