Learning Task 2. Find the equation of the line. Write in slope intercept form and in standard form 1. m- -5, b - 1 3. (-2, 0) and (0, 5) 5. m-2, (3, -1) 2. (1, -2), (3, 3) 4. a- 2, b--7

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 6PS
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Learning Task 2. Find the equation of the line. Write in slope intercept form
and in standard form
1. m= -5, b- 1
3. ( -2, 0) and (0, 5)
5. m- 2, (3, -1)
2. (1, -2), (3, 3)
4. a- 2, b -7
E
Learning Task 3. Find the equation of the line. Do it in your notebook.
(a) In slope intercept form y = mx + b
(b) in standard form ax + by = c
1. The alope is 5 passing through (-1, 4).
2. The line passes through point ( 3, -4) and (-2, 2)
3. The slope is 3 and the y-intercept is (0,4)
4. The x intercept -3 and the y-intercept is 6
5. Passing through the points (-1, -2) and (5, 3)
A
Learning Task 4: Do the following in your notebook.
A. Find the equation of the line given the graph.
1.
2.
3.
PIVOT 4A CALABARZON
29
Transcribed Image Text:Learning Task 2. Find the equation of the line. Write in slope intercept form and in standard form 1. m= -5, b- 1 3. ( -2, 0) and (0, 5) 5. m- 2, (3, -1) 2. (1, -2), (3, 3) 4. a- 2, b -7 E Learning Task 3. Find the equation of the line. Do it in your notebook. (a) In slope intercept form y = mx + b (b) in standard form ax + by = c 1. The alope is 5 passing through (-1, 4). 2. The line passes through point ( 3, -4) and (-2, 2) 3. The slope is 3 and the y-intercept is (0,4) 4. The x intercept -3 and the y-intercept is 6 5. Passing through the points (-1, -2) and (5, 3) A Learning Task 4: Do the following in your notebook. A. Find the equation of the line given the graph. 1. 2. 3. PIVOT 4A CALABARZON 29
Solutions of Systems of Linear Equation in
Two Variables In Two Variables
WEEK
Lesson
I
After going through this lesson, you are expected to solve a system of
linear equations in two variables by a. Graphing; b. Substitution;
c. Elimination, and solve problems involving systems of linear equations in two
variables.
In your previous lesson you find an ordered pair that satisfy the given
equation in two variables and this ordered pair is called the solution of the
equation. Since it is a line , all the points within the line are said to be the solu-
tion of the equation.
However in a system of equations, you are looking for a unique ordered
pair that will satisfy both equations. Through graphs, that ordered pair is the
coordinate of the point of intersection of the two lines. The point is the solu-
tion of the system of equations. System of equation may 1 solution, no solution
or infinite solution.
Learning Task 1: Which of the following graphs has one, non or infinite
solutions. Write you answer in your notebook.
1.
2.
3.
A system of linear equations contains two or more equations e.g.
PIVOT 4A CALABARZON
33
00
Transcribed Image Text:Solutions of Systems of Linear Equation in Two Variables In Two Variables WEEK Lesson I After going through this lesson, you are expected to solve a system of linear equations in two variables by a. Graphing; b. Substitution; c. Elimination, and solve problems involving systems of linear equations in two variables. In your previous lesson you find an ordered pair that satisfy the given equation in two variables and this ordered pair is called the solution of the equation. Since it is a line , all the points within the line are said to be the solu- tion of the equation. However in a system of equations, you are looking for a unique ordered pair that will satisfy both equations. Through graphs, that ordered pair is the coordinate of the point of intersection of the two lines. The point is the solu- tion of the system of equations. System of equation may 1 solution, no solution or infinite solution. Learning Task 1: Which of the following graphs has one, non or infinite solutions. Write you answer in your notebook. 1. 2. 3. A system of linear equations contains two or more equations e.g. PIVOT 4A CALABARZON 33 00
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