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Match each linear equation with its graph I b I Equation ©g=5–4 y=−x+1 1 -x+1 2° U = y = y = 4 1 -X 4 I 4 P G K Graph Color a. blue (B) b. red (R) c. green (G) d. purple (P) e. black (K)

Match each linear equation with its graph I b I Equation ©g=5–4 y=−x+1 1 -x+1 2° U = y = y = 4 1 -X 4 I 4 P G K Graph Color a. blue (B) b. red (R) c. green (G) d. purple (P) e. black (K)

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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### Match Each Linear Equation with Its Graph In this exercise, you are given several linear equations and their corresponding graphs. Your task is to match each equation with the correct graph based on its color. #### Linear Equations 1. \( y = 5x - 4 \) 2. \( y = -x + 1 \) 3. \( y = \frac{1}{2} x + 1 \) 4. \( y = 4 \) 5. \( y = \frac{1}{4} x - 4 \) #### Graph Details - **Blue Line (B)** - **Red Line (R)** - **Green Line (G)** - **Purple Line (P)** - **Black Line (K)** #### Graph Representation Below is a graph with five colored lines labeled with their respective colors: - **Blue Line (B)**: This line is horizontal and crosses the y-axis at \( y = 4 \). - **Red Line (R)**: This line has a negative slope and crosses the y-axis at \( y = 1 \). - **Green Line (G)**: This line has a small positive slope and crosses the y-axis at \( y = 1 \). - **Purple Line (P)**: This line has a steep positive slope and crosses the y-axis below the origin (negative y-intercept). - **Black Line (K)**: This line has a gentle positive slope and crosses the y-axis at \( y = -4 \). #### Matching Equations with Graphs For each equation, identify the corresponding color of the graph: - **Equation 4: \(y = 4\)** matches with **Blue Line (B)**. - **Equation 2: \(y = -x + 1\)** matches with **Red Line (R)**. - **Equation 3: \(y = \frac{1}{2} x + 1\)** matches with **Green Line (G)**. - **Equation 1: \(y = 5x - 4\)** matches with **Purple Line (P)**. - **Equation 5: \(y = \frac{1}{4} x - 4\)** matches with **Black Line (K)**. Use these matches to explore how different slopes and y-intercepts affect the graph of a linear equation. This understanding is fundamental in graphing linear equations and interpreting
Transcribed Image Text:### Match Each Linear Equation with Its Graph In this exercise, you are given several linear equations and their corresponding graphs. Your task is to match each equation with the correct graph based on its color. #### Linear Equations 1. \( y = 5x - 4 \) 2. \( y = -x + 1 \) 3. \( y = \frac{1}{2} x + 1 \) 4. \( y = 4 \) 5. \( y = \frac{1}{4} x - 4 \) #### Graph Details - **Blue Line (B)** - **Red Line (R)** - **Green Line (G)** - **Purple Line (P)** - **Black Line (K)** #### Graph Representation Below is a graph with five colored lines labeled with their respective colors: - **Blue Line (B)**: This line is horizontal and crosses the y-axis at \( y = 4 \). - **Red Line (R)**: This line has a negative slope and crosses the y-axis at \( y = 1 \). - **Green Line (G)**: This line has a small positive slope and crosses the y-axis at \( y = 1 \). - **Purple Line (P)**: This line has a steep positive slope and crosses the y-axis below the origin (negative y-intercept). - **Black Line (K)**: This line has a gentle positive slope and crosses the y-axis at \( y = -4 \). #### Matching Equations with Graphs For each equation, identify the corresponding color of the graph: - **Equation 4: \(y = 4\)** matches with **Blue Line (B)**. - **Equation 2: \(y = -x + 1\)** matches with **Red Line (R)**. - **Equation 3: \(y = \frac{1}{2} x + 1\)** matches with **Green Line (G)**. - **Equation 1: \(y = 5x - 4\)** matches with **Purple Line (P)**. - **Equation 5: \(y = \frac{1}{4} x - 4\)** matches with **Black Line (K)**. Use these matches to explore how different slopes and y-intercepts affect the graph of a linear equation. This understanding is fundamental in graphing linear equations and interpreting
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