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Linear Equations have INFINITE SOLUTIONS!
That means that a linear equation has so many solutions that you could never list all of them! |
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When you graph a Linear Equation, the geometric figure that is formed is a LINE! |
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The highest exponent that a variable has in a Linear Equation is ONE!
The variables "x" and "y" in a Linear Equation have an understood "1" as their exponent. |
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Standard Form for a Linear Equation is Ax + By = C
Slope-Intercept Form for a Linear Equation is
y = mx + b |
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Which of the following is a linear equation?
1) y = x2 - 3x + 2
2) x2 + y2 = 6
3) 3x + 2y = 1 |
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Answer choice #3 is the only Linear Equation.
3x + 2y = 1
Notice the highest exponent of both "x" and "y" is a 1. |
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This is a Linear Equation because the graph is a LINE! |
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How many solutions does the equation
y = 4x +1 have? |
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It has an INFINITE number of solutions because it is a Linear Equation!
Notice that the equation has an x and a y and they have exponents equal to 1. |
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