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For the point (-17,-7) and Q (-12-2) Find the distance & (P,Q) and the Coordinates of the midpoint M of the segment PG

For the point (-17,-7) and Q (-12-2) Find the distance & (P,Q) and the Coordinates of the midpoint M of the segment PG

Algebra and Trigonometry (6th Edition)
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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**Mathematics Problem: Analyzing Distance and Midpoint** For the points \( P(-17, -7) \) and \( Q(-12, -8) \): 1. **Find the distance** \( d(P, Q) \). 2. Determine the **coordinates of the midpoint** \( M \) of the segment \( PQ \). **Explanation:** - **Distance between Two Points:** The distance \( d \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) can be calculated using the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] - **Midpoint of a Segment:** The midpoint \( M(x, y) \) of a segment connecting two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by: \[ M(x, y) = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Transcribed Image Text:**Mathematics Problem: Analyzing Distance and Midpoint** For the points \( P(-17, -7) \) and \( Q(-12, -8) \): 1. **Find the distance** \( d(P, Q) \). 2. Determine the **coordinates of the midpoint** \( M \) of the segment \( PQ \). **Explanation:** - **Distance between Two Points:** The distance \( d \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) can be calculated using the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] - **Midpoint of a Segment:** The midpoint \( M(x, y) \) of a segment connecting two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by: \[ M(x, y) = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
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