If the graph of a line y = b + m x is reflected about the y-axis, what are the slope and intercepts of the resulting line? Slope of the resulting line: y-intercept of resulting line: x-intercept of resulting line: 200

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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**Exploring Reflections in Coordinate Geometry**

When the graph of a line \( y = b + mx \) is reflected about the \( y \)-axis, we need to determine the slope and intercepts of the resulting line.

**Slope of the Resulting Line:**  
[Enter Answer Here]

**\( y \)-Intercept of Resulting Line:**  
[Enter Answer Here]

**\( x \)-Intercept of Resulting Line:**  
[Enter Answer Here]

To understand the effects of reflection:
- Reflecting a line about the \( y \)-axis changes the sign of the slope. 
- The \( y \)-intercept remains the same since reflection across the \( y \)-axis doesn't change the vertical position of the line. 
- The \( x \)-intercept's sign will be reversed due to the reflection. 

Filling out the boxes will help determine these parameters for any line under the given condition.
Transcribed Image Text:**Exploring Reflections in Coordinate Geometry** When the graph of a line \( y = b + mx \) is reflected about the \( y \)-axis, we need to determine the slope and intercepts of the resulting line. **Slope of the Resulting Line:** [Enter Answer Here] **\( y \)-Intercept of Resulting Line:** [Enter Answer Here] **\( x \)-Intercept of Resulting Line:** [Enter Answer Here] To understand the effects of reflection: - Reflecting a line about the \( y \)-axis changes the sign of the slope. - The \( y \)-intercept remains the same since reflection across the \( y \)-axis doesn't change the vertical position of the line. - The \( x \)-intercept's sign will be reversed due to the reflection. Filling out the boxes will help determine these parameters for any line under the given condition.
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