Algebra and Trigonometry (6th Edition)
6th Edition
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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Question
![**Educational Content: Coordinate Geometry**
**Objective: Calculate the Length of a Line Segment on a Coordinate Grid**
The image above demonstrates a task where you need to determine the length of a line segment between two points on a coordinate grid.
**Graph/Diagram Explanation:**
- The graph is a coordinate grid with axes ranging from -10 to 10 on both the x-axis and the y-axis.
- A line segment is drawn connecting two points on this grid.
- The first point is located at (-9, -5) and the second point at (6, 9).
- Each square on the grid represents one unit.
**Task Instructions:**
1. Use the distance formula to calculate the length of the line segment:
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
2. Substitute the coordinates into the formula:
\[
\text{Distance} = \sqrt{(6 - (-9))^2 + (9 - (-5))^2}
\]
3. Calculate the result to find the length of the line segment.
**Interactive Element:**
- Enter your calculated length in the provided input box labeled "Length = ".
**Goal:**
- By completing this task, you will enhance your understanding of coordinate geometry and the use of the distance formula.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff304fb3c-41b5-4488-9f55-3e96df99a79a%2Fb6c2749e-404c-43d6-a3ea-4f8ca5b2921c%2F73557ek_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content: Coordinate Geometry**
**Objective: Calculate the Length of a Line Segment on a Coordinate Grid**
The image above demonstrates a task where you need to determine the length of a line segment between two points on a coordinate grid.
**Graph/Diagram Explanation:**
- The graph is a coordinate grid with axes ranging from -10 to 10 on both the x-axis and the y-axis.
- A line segment is drawn connecting two points on this grid.
- The first point is located at (-9, -5) and the second point at (6, 9).
- Each square on the grid represents one unit.
**Task Instructions:**
1. Use the distance formula to calculate the length of the line segment:
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
2. Substitute the coordinates into the formula:
\[
\text{Distance} = \sqrt{(6 - (-9))^2 + (9 - (-5))^2}
\]
3. Calculate the result to find the length of the line segment.
**Interactive Element:**
- Enter your calculated length in the provided input box labeled "Length = ".
**Goal:**
- By completing this task, you will enhance your understanding of coordinate geometry and the use of the distance formula.
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