Homework Help is Here – Start Your Trial Now!
Math
Algebra
Write a linear formula in slope-intercept form for the function whose graph is shown to the right. X y=x-20 -40 40 (-8,-28) (8,-20) 1-40 40

Write a linear formula in slope-intercept form for the function whose graph is shown to the right. X y=x-20 -40 40 (-8,-28) (8,-20) 1-40 40

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,...
See similar textbooks
icon
Related questions
Question

This is incorrect answer 

**Transcription for Educational Use** Title: Writing a Linear Formula in Slope-Intercept Form Instruction: Write a linear formula in slope-intercept form for the function whose graph is shown to the right. Given Answer: \( y = x - 20 \) (This answer is marked as incorrect.) **Graph Explanation:** - The graph is a coordinate plane with both x-axis and y-axis ranging from -40 to 40. - There is a line plotted that passes through two points: \((-8, -28)\) and \((8, -20)\). - The line appears to have a positive slope, intersecting the y-axis at a point below the origin. To find the correct slope-intercept form (\(y = mx + b\)), use the following steps: 1. **Calculate the Slope (m):** - Use the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). - Substitute the given points: \(m = \frac{-20 - (-28)}{8 - (-8)} = \frac{-20 + 28}{8 + 8} = \frac{8}{16} = \frac{1}{2}\). 2. **Calculate the Y-Intercept (b):** - Use the slope-intercept formula with one point, for example, \((8, -20)\). - Substitute into \(y = mx + b\): \(-20 = \frac{1}{2}(8) + b\). - Solve for \(b\): \(-20 = 4 + b\), so \(b = -24\). 3. **Write the Correct Formula:** - The correct linear equation in slope-intercept form is \(y = \frac{1}{2}x - 24\).
Transcribed Image Text:**Transcription for Educational Use** Title: Writing a Linear Formula in Slope-Intercept Form Instruction: Write a linear formula in slope-intercept form for the function whose graph is shown to the right. Given Answer: \( y = x - 20 \) (This answer is marked as incorrect.) **Graph Explanation:** - The graph is a coordinate plane with both x-axis and y-axis ranging from -40 to 40. - There is a line plotted that passes through two points: \((-8, -28)\) and \((8, -20)\). - The line appears to have a positive slope, intersecting the y-axis at a point below the origin. To find the correct slope-intercept form (\(y = mx + b\)), use the following steps: 1. **Calculate the Slope (m):** - Use the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). - Substitute the given points: \(m = \frac{-20 - (-28)}{8 - (-8)} = \frac{-20 + 28}{8 + 8} = \frac{8}{16} = \frac{1}{2}\). 2. **Calculate the Y-Intercept (b):** - Use the slope-intercept formula with one point, for example, \((8, -20)\). - Substitute into \(y = mx + b\): \(-20 = \frac{1}{2}(8) + b\). - Solve for \(b\): \(-20 = 4 + b\), so \(b = -24\). 3. **Write the Correct Formula:** - The correct linear equation in slope-intercept form is \(y = \frac{1}{2}x - 24\).
Expert Solution
Step 1: Given graph

Algebra homework question answer, step 1, image 1

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS