Homework Help is Here – Start Your Trial Now!
Math
Algebra
Graph x – 6y = 6 by finding the intercepts.

Graph x – 6y = 6 by finding the intercepts.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
See similar textbooks
icon
Related questions
Question
Graph x - 3y = 6 by finding the y- and x-intercepts. We will let x = 0 to find the y-intercept of the graph. We will then let y = 0 to find the x-intercept. Since two points determine a line, the y-intercept and x-intercept are enough information to graph this linear equation. y-intercept:x = x-intercept:y = 0 %3D х — Зу %3D 6 х — Зу%3D 6 Substitute Substitute -Зу х — 3( %D O for x. O for y. -3y = X - 6. To isolate X = y, divide both sides y = The x-intercept is (6, 0). by -3. The y-intercept is (0, –2). Since each intercept of the graph is a solution of the equation, we enter the intercepts in a table of solutions below. As a check, we find one more point on the line. We select a convenient value for x, say, 3, and find the corresponding value of y. - 3y = 6 - Зу %3D6 X - Substitute 3 for x. -3y = To isolate the variable term, -3y, subtract 3 from both sides. y = To isolate y, divide both sides by -3. Therefore, (3, –1) is a solution. It is also entered in the table. We plot the intercepts and the check point, draw a straight line through them, and label the line as х — Зу 3D 6. y 4 х — Зу 3D 6 y (х, у) x – 3y = 6 -2 ( --2) e y-intercept (6, 0) 3 4 6. (6, e x-intercept (3, -1) 3 -1 (,-1) e check point (0. -2)
Transcribed Image Text:Graph x - 3y = 6 by finding the y- and x-intercepts. We will let x = 0 to find the y-intercept of the graph. We will then let y = 0 to find the x-intercept. Since two points determine a line, the y-intercept and x-intercept are enough information to graph this linear equation. y-intercept:x = x-intercept:y = 0 %3D х — Зу %3D 6 х — Зу%3D 6 Substitute Substitute -Зу х — 3( %D O for x. O for y. -3y = X - 6. To isolate X = y, divide both sides y = The x-intercept is (6, 0). by -3. The y-intercept is (0, –2). Since each intercept of the graph is a solution of the equation, we enter the intercepts in a table of solutions below. As a check, we find one more point on the line. We select a convenient value for x, say, 3, and find the corresponding value of y. - 3y = 6 - Зу %3D6 X - Substitute 3 for x. -3y = To isolate the variable term, -3y, subtract 3 from both sides. y = To isolate y, divide both sides by -3. Therefore, (3, –1) is a solution. It is also entered in the table. We plot the intercepts and the check point, draw a straight line through them, and label the line as х — Зу 3D 6. y 4 х — Зу 3D 6 y (х, у) x – 3y = 6 -2 ( --2) e y-intercept (6, 0) 3 4 6. (6, e x-intercept (3, -1) 3 -1 (,-1) e check point (0. -2)
4 х — Зу %3D 6 3 y (х, у) X – 3y = 6 -2 (,-2) - y-intercept (6, 0) 3 6 (6, O) e x-intercept 6 0 (3,-1) -1 ,-1) e check point (0,-2) -4 eck 2 Graph x – 6y = 6 by finding the intercepts. %3D 10 Graph Layers Clear ll 8 After you add an object to the graph you 7 Delete can use Graph Layers to view and edit its 6 properties. 5 4 Fill 3 2 1 -10 -9 -8 -7 -6 -4 -3 -2 -1 2 3 4 6. 8. 10 -1 -2 No -3 Solution -4 -5 -6 -7 -8 -9 -10 e Help WebAssign. Graphing Tool
Transcribed Image Text:4 х — Зу %3D 6 3 y (х, у) X – 3y = 6 -2 (,-2) - y-intercept (6, 0) 3 6 (6, O) e x-intercept 6 0 (3,-1) -1 ,-1) e check point (0,-2) -4 eck 2 Graph x – 6y = 6 by finding the intercepts. %3D 10 Graph Layers Clear ll 8 After you add an object to the graph you 7 Delete can use Graph Layers to view and edit its 6 properties. 5 4 Fill 3 2 1 -10 -9 -8 -7 -6 -4 -3 -2 -1 2 3 4 6. 8. 10 -1 -2 No -3 Solution -4 -5 -6 -7 -8 -9 -10 e Help WebAssign. Graphing Tool
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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 (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
SEE MORE TEXTBOOKS