To find the x-intercept of the equation $x - y = 4$, we need to determine the point where the line crosses the x-axis. At the x-intercept, the value of $y$ is zero. So, we can substitute $y = 0$ into the equation and solve for $x$.

Solution:

Given: $x - y = 4$

Set $y = 0$: $x - 0 = 4$ $x = 4$

Answer:

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

Would you like a detailed breakdown of each step, or do you have any questions?

Here are 5 related questions to expand your understanding:

1. What is the y-intercept of the equation $x - y = 4$?
2. How do we find the x-intercept for different types of equations, such as quadratic or cubic functions?
3. How would the intercepts change if we modified the equation to $x - y = -4$?
4. What are intercepts, and why are they important in graphing linear equations?
5. How can we determine if a line has no x-intercept?

Tip: To find the x-intercept, always set $y = 0$ in the equation. For the y-intercept, set $x = 0$.