Fill in the blanks below. Find the slope of the line passing through the points (9, 6) and (9, -7). slope: Find the slope of the line passing through the points (-2, 9) and (8, 9). slope:

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## Initial Knowledge Check: Question 15

**Fill in the blanks below.**

**1. Find the slope of the line passing through the points \( (9, 6) \) and \( (9, -7) \).**

Slope: \[ \_\_\_\_ \]

**2. Find the slope of the line passing through the points \( (-2, 9) \) and \( (8, 9) \).**

Slope: \[ \_\_\_\_ \]

### Explanation

To find the slope of a line passing through two points \( (x_1, y_1) \) and \( (x_2, y_2) \), use the formula:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

- For the first set of points \( (9, 6) \) and \( (9, -7) \), calculate the slope where \( x_1 = x_2 \), suggesting a vertical line.
- For the second set of points \( (-2, 9) \) and \( (8, 9) \), calculate the slope where \( y_1 = y_2 \), suggesting a horizontal line.
Transcribed Image Text:## Initial Knowledge Check: Question 15 **Fill in the blanks below.** **1. Find the slope of the line passing through the points \( (9, 6) \) and \( (9, -7) \).** Slope: \[ \_\_\_\_ \] **2. Find the slope of the line passing through the points \( (-2, 9) \) and \( (8, 9) \).** Slope: \[ \_\_\_\_ \] ### Explanation To find the slope of a line passing through two points \( (x_1, y_1) \) and \( (x_2, y_2) \), use the formula: \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \] - For the first set of points \( (9, 6) \) and \( (9, -7) \), calculate the slope where \( x_1 = x_2 \), suggesting a vertical line. - For the second set of points \( (-2, 9) \) and \( (8, 9) \), calculate the slope where \( y_1 = y_2 \), suggesting a horizontal line.
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