Fill in the missing coordinates of the x-intercept of the line defined by the equation y = x – 4

1. Break Down the Problem

To find the x-intercept of the line defined by the equation $y = x - 4$, we need to determine the point at which the line crosses the x-axis. This occurs when $y = 0$.

2. Relevant Concepts

The equation of the line is given as: $y = x - 4$ By setting $y = 0$, we will solve for $x$.

3. Analysis and Detail

To find the x-intercept:

1. Set $y = 0$: $0 = x - 4$
2. Add 4 to both sides: $x = 4$

Thus, the coordinates of the x-intercept are $(4, 0)$.

4. Verify and Summarize

We've solved the equation by correctly substituting $y = 0$ and following through the algebraic steps. The calculations confirm that the x-intercept occurs at $x = 4$.

Final Answer

The missing coordinates of the x-intercept are $(4, 0)$.