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?

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.