linear equationsOpt

linear equationsOpt - ordered pairs. Usually an ordered...

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Linear Equations Linear equations are functions which have two variables. They have an independent and dependent variable. 100’s of free ppt’s from www.pptpoint.com library
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Independent and Dependent Variables Independent Variables Independent variables are variables that you put into the equations Dependent Variables Dependent variables are variables that you solve for
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Just as common sense would dictate. If something is independent, then it is on its own. But if it is dependent, then it relies on someone or something else. A dependent variable relies on what is used in place of the independent variable
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y = 2x - 4 Using the equation above, y has to be the variable Why ? Because it is the variable that is being solved for Dependent
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Because linear equations have two variables,there are many possible combinations of answers Those possible solutions are written as
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Unformatted text preview: ordered pairs. Usually an ordered pair is written with the independent variable first then the dependent variable Example: y = 3x - 5 Because we solved for y, then x is the independent variable The ordered pair would then be written as ( x , y ) If we do not know which variable is independent, then we choose one. No matter which one is independent, we will still produce similar ordered pairs ( r , s ) is similar to ( s , r ) Not congruent/equal Most of the time when we use the variables x & y in an equation, x is independent and y is dependent There are some exceptions, but we will work with those at a much later time As said before, there are many possible ordered pairs To find more than one solution, we use a Table of Values x y 2 3-2 1-3 Class Examples: 2a + b = 4 3r - 2s = 7 2 + x = y...
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This note was uploaded on 11/17/2011 for the course MATH 110 taught by Professor Staff during the Fall '08 term at BYU.

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linear equationsOpt - ordered pairs. Usually an ordered...

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