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To find the x- and y-intercepts of the equation \( 2x - 5y = 40 \), we’ll solve it by setting each variable to zero in turn.

### Step 1: Find the x-intercept
For the x-intercept, set \( y = 0 \):
\[
2x - 5(0) = 40 \Rightarrow 2x = 40 \Rightarrow x = \frac{40}{2} = 20
\]
So, the x-intercept is \( x = 20 \).

### Step 2: Find the y-intercept
For the y-intercept, set \( x = 0 \):
\[
2(0) - 5y = 40 \Rightarrow -5y = 40 \Rightarrow y = \frac{40}{-5} = -8
\]
So, the y-intercept is \( y = -8 \).

### Final Answer
- **x-intercept**: \( 20 \)
- **y-intercept**: \( -8 \)

Would you like more details or have any questions?

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Here are some related questions you might find helpful:
1. How do you find the intercepts of a line given in standard form?
2. How do you graph a line using only its intercepts?
3. What does the x-intercept represent in a real-world context?
4. How can you convert a linear equation from standard form to slope-intercept form?
5. How can you verify your intercepts using graphing techniques?

**Tip:** Setting one variable to zero is an effective way to find intercepts quickly in linear equations.

Find the x- and y-intercepts of the graph of 2x - 5y = 40. State each answer as an integer or an improper fraction in simplest form.

Learn how to find the x- and y-intercepts of the equation 2x - 5y = 40. This step-by-step solution covers key algebraic concepts, helping students in Grades 8-10 understand how to determine intercepts of linear equations.

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