### Match Each Linear Equation with Its GraphIn 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 Equations1. \( y = 5x - 4 \)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 RepresentationBelow 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 GraphsFor 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

Answered: Image /qna-images/answer/4c7cd092-f965-4eb0-8835-48d7918ddfe6.jpg

Answered: Match each linear equation with its…

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)

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,...

See similar textbooks

Related questions

Q: 2.) Fill in the table given the equation y=D2(3 and sketch the graph: y 10 10-8-6 -4-2 2. 4 6. 1 -2…

A: We have to find graph

Q: Choose the equation that matches the graph? dodan X Select one: O a. (x + 1)² + (y+4)²=16 O b. Oc. O…

Q: Sketch and identify the traces and the graph of the equation 36 y? = Z 16

Q: What is the equation of the graph? A. y = 4cos (3x) В. у %3D 4sin (3х) С. у %3D Зсos (4x) D. y =…

Q: Sketch the graph of the equation by point plotting. y = (x - 2)² -1 X у Submit Answer y 6 -8 -10 0 2…

Q: 2. Give the equation in the form ax + by +c = 0 fo the line & passing through C(-4, 6) with slope 1…

A: From the given data we have to find the following value.

Q: Identity the y-intercept ol the ng ine y = 3x-5 %3D

A: Given line is y=3x-5 find the y intercept of the given line

Q: 2. Which equation is graphed below? -4| -2 |0 2 4 X -2 a. y = 2x² – 8x + 7 b. x = -2y² – 8y – 7 c. y…

A: Given , We have to tell which equation is of the graph

Q: ketch and identify the

A: Given, x236+y216=z

Q: O O 2. The graph of the equationx + 3y = 6 intersects the y-axis at the point whose coordinates are…

A: To find the intersection point

Q: 4) Graph: Ex+4 (x.y) 10 ock angle

A: The given function is y=-35x+4. The below table shows the corresponding values of y for different…

Q: Consider the following equation. 2x + 3y + 23 = 0 %3D Step 2 of 3: Plot the point on the line with…

Q: What is the equation of the graph? A. y = 4cos (3x) B. y= 4sin (3x) C. y = 3cos (4x) D. y= 3sin (4x)

A: Solve the following

Q: Graph the equation x – y – 3 = 0.

Q: 4. Graph each equation (x- 3)2 + (y+ 2)? = 4

A: To Graph the equation :

Q: Starting with the graph of y = ex, write the equation of the graph that results from the following…

Q: (b) Sketch the graph of y = x² + b for b = ±1, ±2, and +3 in a single coordinate system.

A: To graph the function, y = x2 + b For b = -3, -2, -1, 1, 2, 3 On a single coordinate system.

Q: 2. Fill in the blanks of the following chart. DO NOT complete the shaded boxes. y = 2x +8 2 y = 3 -…

A: Let us consider the equation of parabola y=a(x-h)2+k Vertex of the equation is (h,k) The axis of…

Q: Match each equation with its graph. (x – 6)2 + (y– 1)² = 3 (x + 6)2 + (y – 1)² = 3 (x+6)² + (y+ 1)²…

A: The graph is shown below:

Q: Identify the correct equation for the given graph below: y = 12x³(x-2) Oy = 12(x-2)²(x)² Oy =…

A: Given query is to find the equation of the function.

Question

### 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

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Match given equation with graph colour

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

What is the equation of the graph given below? NOTE: enter your answer in cosecant form. y=
The asymptotes of y 2sec(8x). I. x: 16 口x=" II. x = III. x = 16 A. I and II only B. I and III only C. II and III only D. I, II, and III
y² − 4x – 2y = 7 Put the equation in standard form and graph it.
Q1) Draw the graphs for the following equations : 1. x−z=2 2. y−x=2 3. x+y=2 4. x+y=−2
Help pls 1
Determine the y-intercept. y=x2-4x-12
How do I graph 28?
Convert x+ 6x+y-10y- 15-O into the standard form of the equation of a circle. Equation: (x 2+(y Actual radius: No new data to save, Last checked at 9:41am DELL
Enter the correct answer to complete the following sentence. The graph of x^2+(y−6)2=9 has center with coordinates ____.
Match each linear equation with its graph I P G Equation Ⓒy=3 Ⓒy Ⓒy = - - 5x = 1 -X Ⓒy=x Ⓒy - 4 -3x - 4 R B K Graph Color a. black (K) b. purple (P) c. green (G) d. red (R) e. blue (B)
Number 4
Match each linear equation with its graph I I I I Equation y y y = 3 x 3x + 1 1 y x 72 y = 5x + 1 Graph Color a. red b. blue c. green d. black e. purple