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To find the x-intercept of the equation \(-4x + 5y = -20\), we need to set \(y = 0\) because the x-intercept occurs where the graph crosses the x-axis, which is when \(y = 0\).

1. Substitute \(y = 0\) into the equation:
   \[
   -4x + 5(0) = -20
   \]
   Simplifying, we get:
   \[
   -4x = -20
   \]

2. Now, solve for \(x\):
   \[
   x = \frac{-20}{-4} = 5
   \]

Therefore, the x-intercept is \(x = 5\). The correct answer is:
- \(x = 5\).

Would you like more details on solving this type of problem or have any questions?

Here are some related questions to further explore this topic:
1. How do you find the y-intercept of a linear equation?
2. What is the general form of a linear equation in two variables?
3. How can you determine the slope of a line given its equation?
4. How do you interpret the slope and intercepts in a real-world context?
5. How do parallel and perpendicular lines relate in terms of their slopes?

**Tip:** For any linear equation, set \(y = 0\) to find the x-intercept and \(x = 0\) to find the y-intercept.

What is the x-intercept of the following function? -4x + 5y = -20

Learn how to find the x-intercept of the linear equation -4x + 5y = -20. This guide covers key concepts for solving linear equations and determining intercepts, suitable for students in Grades 8-10.

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