Graphing Linear Equations
185.5 هزار بار بازدید -
12 سال پیش
-
Graphing Linear Equations. Mr. Causey
Graphing Linear Equations. Mr. Causey shows you how to graph linear equations on a coordinate system. In this lesson, you will learn how to properly set up your graph, what a linear equation is, and how to graph a linear equation. http://www.mrcausey.com
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ABOUT MR. CAUSEY'S VIDEO ACADEMY
Mr. Causey's Video Academy is an educational video series of short video lessons for chemistry, algebra and physics. You can
get lessons on a variety of topics or homework helpers that show you how to solve certain problems. There are over 100 videos to
choose from.
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[email protected]
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RELATED VIDEOS:
Slope - How to Find the Slope, Y-Intercept an...
Intercepts:
How to Determine x-intercepts and y-I...
Mr. Causey shows you how to graph linear equations on a coordinate system. Learn about the independent and the dependent variables and how to find the best points. Also learn how to graph horizontal and vertical lines. In this lesson you will learn how to properly set up your graph, what a linear equation is, and how to graph a linear equation. Now, I am going to assume you know what equations are and how to work with them. If not this is probably not the video for you, at least not yet. Let's start with what makes a good graph. Every good graph should be done on graph paper. Graph paper will help to keep things neat and clean. Good graphs have straight lines, so use a ruler or some type of straight edge; free-hand lines just aren't good enough. A properly done graph has the x-axis and y-axis clearly labeled and a scale that is obvious. Follow these guidelines to create good graphs.
A linear equation is a first degree equation in one or more variables. That is an equation with no power higher than one.
y equals two x plus three;
y minus two x plus one equals zero;
x minus four equals negative two y;
Each of these is a linear equation and the graph for each of these is a LINE. That's why we call them linear equations. Let's graph one. How about y equals two x plus three? That sounds good. First make a T table and label it with the independent and the dependent variable. If you don't like the T table use whatever method you prefer but you need to keep things orderly and I like the T table. Oh, btw the independent is on the horizontal axis and the dependent is on the vertical axis. You want to start with the independent and choose a number as simple as possible. I am going to choose zero and put that number into the equation and solve for y. (pause) The answer is three. Put the three with the zero and do this two more times.
Plot these three points and draw a line through the points to create the line graph. That's all there is to it. Let's try a practice problem; x minus four equals negative two y.
The first thing I would do is put in a y equals form. So, let's divide everything by negative two and perform the operations. And we get negative one half x plus 2 equals y.
Draw your T table and choose three points.
Plot those three points and draw a line through them. Viola! You graphed the line for that equation. Before we stop let's discuss two more things horizontal and vertical lines.
When we write y equals four it means y is always four and results in a horizontal line. And when we write x equals negative two it means that x is always negative two and results in a vertical line. Let's Review everything you have learned. First, you learned how to make a good graph, and then you learned what a linear equation is and how to graph it. The next thing you need to do is practice, practice, practice.
SUBSCRIBE for more great videos:
http://bit.ly/1jeutVl
ABOUT MR. CAUSEY'S VIDEO ACADEMY
Mr. Causey's Video Academy is an educational video series of short video lessons for chemistry, algebra and physics. You can
get lessons on a variety of topics or homework helpers that show you how to solve certain problems. There are over 100 videos to
choose from.
CONTACT ME:
[email protected]
FOLLOW ME:
http://www.twitter.com/#!/mrcausey
Pinterest: mistercausey
http://www.facebook.com/profile.php?i...
https://plus.google.com/u/0/111105504...
RELATED VIDEOS:
Slope - How to Find the Slope, Y-Intercept an...
Intercepts:
How to Determine x-intercepts and y-I...
Mr. Causey shows you how to graph linear equations on a coordinate system. Learn about the independent and the dependent variables and how to find the best points. Also learn how to graph horizontal and vertical lines. In this lesson you will learn how to properly set up your graph, what a linear equation is, and how to graph a linear equation. Now, I am going to assume you know what equations are and how to work with them. If not this is probably not the video for you, at least not yet. Let's start with what makes a good graph. Every good graph should be done on graph paper. Graph paper will help to keep things neat and clean. Good graphs have straight lines, so use a ruler or some type of straight edge; free-hand lines just aren't good enough. A properly done graph has the x-axis and y-axis clearly labeled and a scale that is obvious. Follow these guidelines to create good graphs.
A linear equation is a first degree equation in one or more variables. That is an equation with no power higher than one.
y equals two x plus three;
y minus two x plus one equals zero;
x minus four equals negative two y;
Each of these is a linear equation and the graph for each of these is a LINE. That's why we call them linear equations. Let's graph one. How about y equals two x plus three? That sounds good. First make a T table and label it with the independent and the dependent variable. If you don't like the T table use whatever method you prefer but you need to keep things orderly and I like the T table. Oh, btw the independent is on the horizontal axis and the dependent is on the vertical axis. You want to start with the independent and choose a number as simple as possible. I am going to choose zero and put that number into the equation and solve for y. (pause) The answer is three. Put the three with the zero and do this two more times.
Plot these three points and draw a line through the points to create the line graph. That's all there is to it. Let's try a practice problem; x minus four equals negative two y.
The first thing I would do is put in a y equals form. So, let's divide everything by negative two and perform the operations. And we get negative one half x plus 2 equals y.
Draw your T table and choose three points.
Plot those three points and draw a line through them. Viola! You graphed the line for that equation. Before we stop let's discuss two more things horizontal and vertical lines.
When we write y equals four it means y is always four and results in a horizontal line. And when we write x equals negative two it means that x is always negative two and results in a vertical line. Let's Review everything you have learned. First, you learned how to make a good graph, and then you learned what a linear equation is and how to graph it. The next thing you need to do is practice, practice, practice.
12 سال پیش
در تاریخ 1391/09/04 منتشر شده
است.
185,575
بـار بازدید شده