To determine the correct equation for the lines represented in this graph, let’s examine each equation option provided and consider the graph’s characteristics.

1. Equation 1: $x + 2 = 3x$
   Rearranging this equation: $x + 2 = 3x \Rightarrow 2 = 2x \Rightarrow x = 1$ This equation is a vertical line, as it only restricts $x$ to be 1. This does not match our graph since we see two sloped lines rather than a vertical one.

2. Equation 2: $2x = x - 1$
   Rearranging: $2x - x = -1 \Rightarrow x = -1$ This is another vertical line where $x = -1$, which doesn’t match our graph either.

3. Equation 3: $x + 2 = 3x - 1$
   Rearranging: $x + 2 = 3x - 1 \Rightarrow 2 + 1 = 2x \Rightarrow 3 = 2x \Rightarrow x = \frac{3}{2}$ Solving for $y$ values for this case would yield a line but needs more verification with slope-intercept form analysis.

4. **Equation 4: ( 2 + 2