Short Answer 
The solution involves understanding two equations: y = -2x + 3 and rearranging 2x + 4y = -8 to find y. By substituting y from the first equation into the second, you find x = 3.33, and the y-intercepts are calculated as 3 for the first equation and -24 for the second, aiding in graphing.
Step 1: Understand the Equations
Begin by examining the two equations provided. The first equation is y = -2x + 3, which represents a linear function. The second equation, 2x + 4y = -8, can also be rearranged to express y in terms of x. Understanding these equations is essential before attempting to graph them.
Step 2: Substitute and Solve
Next, substitute the expression for y from the first equation into the second equation. This means replacing y in 2x + 4y = -8 with -2x + 3. The substitution leads to:
- 2x + 4(-2x + 3) = -8
- Upon simplifying, get 2x – 8x + 12 = -8.
- Combine like terms to find x, resulting in x = 3.33.
Step 3: Find the y-intercepts
Once you have the value for x, substitute it back into either original equation to find the y-value. Additionally, calculate the y-intercepts for both equations:
- For the first equation: y-intercept = 3.
- For the second equation: rearranging gives y-intercept = -24.
- This information, along with the coordinate, will help in graphing the equations.