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
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,...
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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
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