Let's find the intercepts of the equation $-x + y = 4$.

1. Finding the x-intercept:

To find the x-intercept, set $y = 0$ in the equation and solve for $x$:

$-x + 0 = 4 \quad \Rightarrow \quad -x = 4 \quad \Rightarrow \quad x = -4$

So, the x-intercept is $(-4, 0)$.

2. Finding the y-intercept:

To find the y-intercept, set $x = 0$ in the equation and solve for $y$:

$-0 + y = 4 \quad \Rightarrow \quad y = 4$

So, the y-intercept is $(0, 4)$.

Final Answer:

• The x-intercept is $(-4, 0)$.
• The y-intercept is $(0, 4)$.

Would you like more details on how these intercepts were calculated or have any other questions?

Here are 5 related questions:

1. How would the intercepts change if the equation was $-x + y = -4$?
2. What is the slope of the line given by the equation $-x + y = 4$?
3. How do you graph a line using its intercepts?
4. What happens to the intercepts if the equation is multiplied by a constant?
5. How do you interpret intercepts in a real-world context?

Tip: Always check your work by plugging the intercepts back into the original equation to verify that they satisfy it.