WEEK Systems of Linear Equation in Two Variables 7 Lesson After going through this lesson, you are expected to illustrate system of linear equation in two variables and determine if the graph of the systems of equation are parallel, perpendicular, intersecting or coinciding lines In the previous lesson you were able to graph the linear equation in two variables. The graph is a line that either rises to the right or falls to the right. The graph rises to the right if the slope is positive and if it falls to the right if the slope is negative. When the graph is a horizontal line, the slope is zero. When the graph is vertical, the slope is undefined. A pair of linear equations in two variables form a system of linear equations. The graph of a system of two equations is a pair of lines in the plane. Learning Task 1: Graph each pair of linear equations in one coordinate plane. Do this in your notebook. 1. y 2x+2 and 2y = 4x + 4 2. Y-x-5 and y = -x +3 3. Y=2x-3 and y= 2x+4 D The graph of systems of linear equation may coincide, may be parallel, perpendicular or intersecting. Example: Graph the System of equations (a) y=2x-3 and y = 2x+1 Using the slope and intercept in graphing. The lines are parallel. Looking back to the two equations, their slopes are equal and the y intercepts are different; m₁m2, big ba PIVOT 4A CALABARZON 30
WEEK Systems of Linear Equation in Two Variables 7 Lesson After going through this lesson, you are expected to illustrate system of linear equation in two variables and determine if the graph of the systems of equation are parallel, perpendicular, intersecting or coinciding lines In the previous lesson you were able to graph the linear equation in two variables. The graph is a line that either rises to the right or falls to the right. The graph rises to the right if the slope is positive and if it falls to the right if the slope is negative. When the graph is a horizontal line, the slope is zero. When the graph is vertical, the slope is undefined. A pair of linear equations in two variables form a system of linear equations. The graph of a system of two equations is a pair of lines in the plane. Learning Task 1: Graph each pair of linear equations in one coordinate plane. Do this in your notebook. 1. y 2x+2 and 2y = 4x + 4 2. Y-x-5 and y = -x +3 3. Y=2x-3 and y= 2x+4 D The graph of systems of linear equation may coincide, may be parallel, perpendicular or intersecting. Example: Graph the System of equations (a) y=2x-3 and y = 2x+1 Using the slope and intercept in graphing. The lines are parallel. Looking back to the two equations, their slopes are equal and the y intercepts are different; m₁m2, big ba PIVOT 4A CALABARZON 30
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.6: Systems Of Inequalities
Problem 40HP
Related questions
Question
Transcribed Image Text:WEEK
Systems of Linear Equation in Two Variables
7
Lesson
I
After going through this lesson, you are expected to illustrate system of
linear equation in two variables and determine if the graph of the systems of
equation are parallel, perpendicular, intersecting or coinciding lines
In the previous lesson you were able to graph the linear equation in two
variables. The graph is a line that either rises to the right or falls to the right.
The graph rises to the right if the slope is positive and if it falls to the
right if the slope is negative. When the graph is a horizontal line, the slope is
zero. When the graph is vertical, the slope is undefined.
A pair of linear equations in two variables form a system of linear
equations. The graph of a system of two equations is a pair of lines in the plane.
Learning Task 1: Graph each pair of linear equations in one coordinate plane.
Do this in your notebook.
1. y- 2x + 2 and 2y - 4x + 4
2. Y= x-5 and y = -x + 3
3. Y- 2x-3 and y = 2x + 4
D
The graph of systems of lincar equation may coincide, may be parallel,
perpendicular ar intersecting.
Example: Graph the System of equations
(a) y - 2x - 3 and y- 2x +1
Using the slope and intercept in graphing.
The lines are parallel. Looking back to the
two equations, their slopes are equal and the y
intercepts are different ; mi = ma, bı4 bi
PIVOT 4A CALABARZON
30
Transcribed Image Text:E
Learning Task 4: Do it in your notebook.
A. Describe the slope and y- intercepts of the graphs of the system of equations.
1.
2.
3.
5.
PIVOT 4A CALABARZON
32
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
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
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning