tent 4 (Chapter 3) Question 20, 3.2.29 HW Score: 25.1\%, 16.07 of 64 points Part 1 of 2 Points: 0 of 1 Save Find the \( x \)-intercept and the \( y \)-intercept. \[ x-5=0 \] What is the x-intercept? Select the correct choice below and fill in any answer boxes within your choice. A. The \( x \)-intercept is \( \square \) . (Type an ordered pair.) B. There is no \( x \)-intercept.

To find the \( x \)-intercept and the \( y \)-intercept of the equation \( x - 5 = 0 \), we can follow these steps: ### Step 1: Find the \( x \)-intercept The \( x \)-intercept occurs where \( y = 0 \). In this case, the equation \( x - 5 = 0 \) can be solved for \( x \): \[ x - 5 = 0 \implies x = 5 \] Thus, the \( x \)-intercept is the point where \( y = 0 \), which gives us the ordered pair: \[ (5, 0) \] ### Step 2: Find the \( y \)-intercept The \( y \)-intercept occurs where \( x = 0 \). We substitute \( x = 0 \) into the equation: \[ 0 - 5 = 0 \implies -5 = 0 \] This equation does not hold true, which means there is no \( y \)-intercept. ### Conclusion Now we can summarize the results: - The \( x \)-intercept is \( (5, 0) \). - There is no \( y \)-intercept. ### Final Answer A. The \( x \)-intercept is \( (5, 0) \).