Mr. Hands Linear Equations Rap: y=mx+b, it's a linear equation between you and me. Where "m" is the slope and "b's" the y-intercept. If you think I'm jokin' , show me some respect.
If they give you the "m" and they give you the "b" put it into the equation and then you will see.
If they give you the slope and they give you a point, Put the "y" in for "y", the "m" in for "m", put the "x" in for "x" and the find "b" Then you"ll have all that's nesaccary
And if they give you two points to run, find the slope and pick one.
<cough> What do you do if it's parallel? The the slope is the same, dude you ain't got no game.
And if it's perpendicular, then you flip it, reverse it. frpfrepreferferperfer
Slope: A comparison between the change in Y and change in X (rate of change).
X-intercept: An ordered pair where a graph crosses the x-axis (Y=zero).
Y-intercept: An ordered pair where a graph crosses the y-axis (X=zero).
General Formula for Linear Equations
y= mx+b m= slope b= y-intercept (starting point)
Standard Form To Slope Intercept Form
1. move the X term to the other side of the equal sign
2. divide by the coefficient of Y
Example;
4x+5y=15 first you would subtract 4x from each side so you can get Y on the side by itself.
-4x -4x 5y =- 4x+15 second you would divide each side by 5 so all you would have left would be Y.
5 5
y= _ 4x + 3 and last you would get your answer by doing the first two step.
5
Slope Intercept Form to Standard Form
Multiply EVERYTHING by the greatest common denominator
Move the X term to the other side of the equal sign
Example;
y=_ 5 x- 4
3
3y= - 5x- 12
5x+ 3y= -12
Videos -These are the videos Mr. Hand posted on his website, thought that could come in handy (no pun intended) here too:
y=mx+b, it's a linear equation between you and me.
Where "m" is the slope and "b's" the y-intercept.
If you think I'm jokin' , show me some respect.
If they give you the "m" and they give you the "b" put it into the equation and then you will see.
If they give you the slope and they give you a point, Put the "y" in for "y", the "m" in for "m", put the "x" in for "x" and the find "b"
Then you"ll have all that's nesaccary
And if they give you two points to run, find the slope and pick one.
<cough> What do you do if it's parallel?
The the slope is the same, dude you ain't got no game.
And if it's perpendicular, then you flip it, reverse it.
frpfrepreferferperfer
Websites
-This website helped me alot with learning and memorizing
y=m(x)+b, slope, and the different kinds of lines:
http://www.mathmotivation.com/lectures/Linear-Functions.pdf
-This is an online flashcard set for linear equations:
http://student.ccbcmd.edu/elmo/math083/flashcards/linearvocabulary.htm
Vocabulary
General Formula for Linear Equations
y= mx+b
m= slope
b= y-intercept (starting point)
Standard Form To Slope Intercept Form
- 1. move the X term to the other side of the equal sign
- 2. divide by the coefficient of Y
Example;4x+5y=15 first you would subtract 4x from each side so you can get Y on the side by itself.
-4x -4x
5y =- 4x+15 second you would divide each side by 5 so all you would have left would be Y.
5 5
y= _ 4x + 3 and last you would get your answer by doing the first two step.
5
Slope Intercept Form to Standard Form
Multiply EVERYTHING by the greatest common denominator
Example;
y=_ 5 x- 4
3
3y= - 5x- 12
5x+ 3y= -12
Videos
-These are the videos Mr. Hand posted on his website, thought that could come in handy (no pun intended) here too:
http://www.google.com/url?url=http://www.youtube.com/watch%3Fv%3DZj-9Zc9yKYU&rct=j&sa=X&ei=J9Z-Ta20GISxcf6eyN8G&ved=0CC0QuAIwAg&q=slope+intercept+form+to+standard+form&usg=AFQjCNHrFxRW9tDMSOXqqVriL15NmWWrOA
http://www.google.com/url?url=http://www.youtube.com/watch%3Fv%3D-8yM86_1fC4&rct=j&sa=X&ei=J9Z-Ta20GISxcf6eyN8G&ved=0CDQQuAIwAw&q=slope+intercept+form+to+standard+form&usg=AFQjCNH4uq_sApT9vRrHVF6wK_OJ0RN_eA
http://www.google.com/url?url=http://www.schooltube.com/video/364effbf942c126ef6b9/Converting-Standard-form-to-SlopeIntercept-form-by-Denny&rct=j&sa=X&ei=ytd-TauMO8v0sgb8qdHfBg&ved=0CDsQuAIwBA&q=slope+intercept+form+to+standard+form&usg=AFQjCNEts9OtNAZTYR0cYQ9nmTVoV2OOeg
Game Websites
http://www.coolmath.com/crunchers/algebra-problems-solving-equations-1.htm
-this game helps you solve simple linear equations (you solve for x)
http://funbasedlearning.com/algebra/graphing/lines/default.htm
-this gme helps you plot points and draw lines. it also help you find the points by making a table