The task asks to write a system of linear equations based on the provided graph. By analyzing the graph:

1. Identify the two lines and their slopes (m) and y-intercepts (b). Each line follows the equation $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
2. The equations can be derived by observing the intersections with axes or by calculating the slope.

Let me analyze this for you:

• Line 1 (steeper positive slope): The line appears to pass through key points like $(0, 3)$ (the y-intercept) and $(3, 0)$. Using these:

  • Slope $m = \frac{\Delta y}{\Delta x} = \frac{3 - 0}{0 - 3} = -1$.
  • Equation: $y = -x + 3$.

• Line 2 (negative slope): This line seems to pass through points like $(0, -2)$ (y-intercept) and $(-4, 0)$.

  • Slope $m = \frac{\Delta y}{\Delta x} = \frac{-2 - 0}{0 - (-4)} = -\frac{1}{2}$.
  • Equation: $y = -\frac{1}{2}x - 2$.

System of Equations: