Six equations are given below. Match the pairs of parallel lines and find the slope of the equations. y = 8x - 13 D. C. 3y = 3 + 24x E. y = X - 13 A. D. 2x - 5y = 10 y = 12 - y = 3x + 1 %3D 1. Line v is parallel to line v and the slope is 2. Line v is parallel to line v and the slope is 3. Line is parallel to line and the slope is

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Matching Parallel Lines and Finding Slopes**

Six equations are given below. Match the pairs of parallel lines and find the slope of the equations.

- **Equation A:** \( y = 8x - 13 \)
- **Equation B:** \( y = 12 - \frac{1}{2}x \)
- **Equation C:** \( 3y = 3 + 24x \)
- **Equation D:** \( 2x - 5y = 10 \)
- **Equation E:** \( y = -\frac{1}{2}x - 13 \)
- **Equation F:** \( y = \frac{2}{5}x + 1 \)

**Matching Pairs:**

1. Line \(\_\) is parallel to line \(\_\) and the slope is \(\_\).
2. Line \(\_\) is parallel to line \(\_\) and the slope is \(\_\).
3. Line \(\_\) is parallel to line \(\_\) and the slope is \(\_\).

**Instructions:**

- Identify which equations represent parallel lines.
- Recall that parallel lines have the same slope.
- Rewrite equations in slope-intercept form (\(y = mx + b\)) if necessary to identify the slope \(m\).

**Graph/Diagram Explanation:**

There are no graphs or diagrams present in this image. The information consists solely of algebraic equations on cards and matching boxes for pairing them based on their slopes.
Transcribed Image Text:**Matching Parallel Lines and Finding Slopes** Six equations are given below. Match the pairs of parallel lines and find the slope of the equations. - **Equation A:** \( y = 8x - 13 \) - **Equation B:** \( y = 12 - \frac{1}{2}x \) - **Equation C:** \( 3y = 3 + 24x \) - **Equation D:** \( 2x - 5y = 10 \) - **Equation E:** \( y = -\frac{1}{2}x - 13 \) - **Equation F:** \( y = \frac{2}{5}x + 1 \) **Matching Pairs:** 1. Line \(\_\) is parallel to line \(\_\) and the slope is \(\_\). 2. Line \(\_\) is parallel to line \(\_\) and the slope is \(\_\). 3. Line \(\_\) is parallel to line \(\_\) and the slope is \(\_\). **Instructions:** - Identify which equations represent parallel lines. - Recall that parallel lines have the same slope. - Rewrite equations in slope-intercept form (\(y = mx + b\)) if necessary to identify the slope \(m\). **Graph/Diagram Explanation:** There are no graphs or diagrams present in this image. The information consists solely of algebraic equations on cards and matching boxes for pairing them based on their slopes.
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