Homework Help is Here – Start Your Trial Now!
Math
Algebra
7. Graph the line with the equation 7x-3y = -18 10 -5 -3 -2 -1 2. 3. 4 6. 7. 8. 9 10 x 10 -8 -7 -6 -1 -2 -5-

7. Graph the line with the equation 7x-3y = -18 10 -5 -3 -2 -1 2. 3. 4 6. 7. 8. 9 10 x 10 -8 -7 -6 -1 -2 -5-

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.CR: Chapter Review
Problem 7CC
See similar textbooks
icon
Related questions
Question
instructions in photo
**Title: Graphing Linear Equations** **Instructions:** 7. **Graph the line with the equation \(7x - 3y = -18\).** **Explanation:** The image shows a coordinate grid used to plot a line representing the equation \(7x - 3y = -18\). **Graph Details:** - **Axes:** The graph has an x-axis (horizontal) and a y-axis (vertical), each labeled with numbers ranging from -10 to 10. - **Grid:** The coordinate plane is divided into squares to help locate points precisely. Each square represents one unit. **Steps to Graph the Equation:** 1. **Rewrite the Equation:** Convert the equation to slope-intercept form (y = mx + b) for easier graphing. - Rearrange \(7x - 3y = -18\) to isolate y: \[ 3y = 7x + 18 \\ y = \frac{7}{3}x + 6 \] 2. **Identify the Slope and Y-Intercept:** - Slope (m) = \(\frac{7}{3}\) - Y-intercept (b) = 6, meaning the line crosses the y-axis at (0, 6). 3. **Plot the Y-Intercept:** - Start by marking the point (0, 6) on the y-axis. 4. **Use the Slope to Find Another Point:** - From (0, 6), rise 7 units up and run 3 units to the right for the next point. - Mark the second point at (3, 13). 5. **Draw the Line:** - Use a ruler to draw a straight line through the points (0, 6) and (3, 13). This line represents the equation \(7x - 3y = -18\) on the graph.
Transcribed Image Text:**Title: Graphing Linear Equations** **Instructions:** 7. **Graph the line with the equation \(7x - 3y = -18\).** **Explanation:** The image shows a coordinate grid used to plot a line representing the equation \(7x - 3y = -18\). **Graph Details:** - **Axes:** The graph has an x-axis (horizontal) and a y-axis (vertical), each labeled with numbers ranging from -10 to 10. - **Grid:** The coordinate plane is divided into squares to help locate points precisely. Each square represents one unit. **Steps to Graph the Equation:** 1. **Rewrite the Equation:** Convert the equation to slope-intercept form (y = mx + b) for easier graphing. - Rearrange \(7x - 3y = -18\) to isolate y: \[ 3y = 7x + 18 \\ y = \frac{7}{3}x + 6 \] 2. **Identify the Slope and Y-Intercept:** - Slope (m) = \(\frac{7}{3}\) - Y-intercept (b) = 6, meaning the line crosses the y-axis at (0, 6). 3. **Plot the Y-Intercept:** - Start by marking the point (0, 6) on the y-axis. 4. **Use the Slope to Find Another Point:** - From (0, 6), rise 7 units up and run 3 units to the right for the next point. - Mark the second point at (3, 13). 5. **Draw the Line:** - Use a ruler to draw a straight line through the points (0, 6) and (3, 13). This line represents the equation \(7x - 3y = -18\) on the graph.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
SEE MORE TEXTBOOKS