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.