The equation you provided is \( 5x + 4y = -20 \). This is a linear equation in two variables, \( x \) and \( y \). Here are some common steps you can follow with such an equation:

1. **Solve for one variable in terms of the other**: You can express one variable in terms of the other. For instance, solving for \( y \) in terms of \( x \):
   \[
   4y = -20 - 5x
   \]
   \[
   y = \frac{-20 - 5x}{4}
   \]
   Simplifying further:
   \[
   y = -5 - \frac{5}{4}x
   \]
   So, \( y = -5 - \frac{5}{4}x \).

2. **Graph the equation**: You can graph this equation by converting it into slope-intercept form (which we just did), where \( y = mx + b \), with \( m = -\frac{5}{4} \) and \( b = -5 \).

3. **Find intercepts**:
   - To find the **x-intercept**, set \( y = 0 \):
     \[
     5x + 4(0) = -20 \quad \Rightarrow \quad x = -4
     \]
   - To find the **y-intercept**, set \( x = 0 \):
     \[
     5(0) + 4y = -20 \quad \Rightarrow \quad y = -5
     \]

4. **Check for parallel or perpendicular lines**: If you have another line's equation, you can check the relationship by comparing slopes.

5. **Substitute specific values**: You can plug in specific values for \( x \) or \( y \) and solve for the other variable.

### Would you like to proceed with any specific method or ask further questions?

### Here are 5 related questions:
1. How do you find the slope of a line from its equation?
2. What are the steps to graph a linear equation using intercepts?
3. How can we determine if two lines are parallel or perpendicular from their equations?
4. How do you solve a system of linear equations with two variables?
5. What is the significance of the slope and intercept in a linear equation?

### Tip:
To quickly find the slope of a line, put the equation in the form \( y = mx + b \), where \( m \) is the slope.

Learn how to solve the linear equation 5x + 4y = -20 using algebraic methods. This solution involves finding the slope and intercepts, converting to slope-intercept form, and graphing. Suitable for students in Grades 7-10.

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