The image you provided shows a graph of two linear equations and asks to solve the system by graphing both equations using their intercepts. The equations are:

1. $x + y = -4$
2. $x - y = -2$

To solve the system, we need to graph both equations by finding their intercepts (the points where the lines cross the x-axis and y-axis).

Steps:

1. Equation 1: $x + y = -4$

   • For the y-intercept, set $x = 0$: $0 + y = -4 \quad \Rightarrow \quad y = -4$ So the y-intercept is $(0, -4)$.
   • For the x-intercept, set $y = 0$: $x + 0 = -4 \quad \Rightarrow \quad x = -4$ So the x-intercept is $(-4, 0)$.

2. Equation 2: $x - y = -2$

   • For the y-intercept, set $x = 0$: $0 - y = -2 \quad \Rightarrow \quad y = 2$ So the y-intercept is $(0, 2)$.
   • For the x-intercept, set $y = 0$: $x - 0 = -2 \quad \Rightarrow \quad x = -2$ So the x-intercept is $(-2, 0)$.

Next steps:

• Plot the intercepts on the graph: one for each line.
• Draw the lines through these points to find the solution, which is the intersection of the two lines.

If you have questions about plotting or want me to explain any other part of the process, feel free to ask!