souravi15
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10 MIN
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10 MIN
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Linear Equations
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Science / Math
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nick  souravi15 

country  India 
languages  English, French, Hindi, Kannada, Tamil, Telugu 
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A linear equation is an equation for a straight line
These are all linear equations: y = 2x+1 5x = 6+3y y/2 = 3  xLet us look more closely at one example:
Example: y = 2x+1 is a linear equation:The graph of y = 2x+1 is a straight line
 When x increases, y increases twice as fast, hence 2x
 When x is 0, y is already 1. Hence +1 is also needed
 So: y = 2x + 1
Here are some example values:
xy = 2x + 1 1 y = 2 × (1) + 1 = 1 0 y = 2 × 0 + 1 = 1 1 y = 2 × 1 + 1 = 3 2 y = 2 × 2 + 1 = 5Check for yourself that those points are part of the line above!
Different Forms
There are many ways of writing linear equations, but they usually have constants (like "2" or "c") and must have simple variables (like "x" or "y").
Examples: These are linear equations: y = 3x  6 y  2 = 3(x + 1) y + 2x  2 = 0 5x = 6 y/2 = 3But the variables (like "x" or "y") in Linear Equations do NOT have:
 Exponents (like the 2 in x2)
 Square roots, cube roots, etc