Difference between revisions of "Slope"

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Slope is the steepness of a line.  A positive slope rises; a negative slope falls.  Another term for slope is gradient.
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'''Slope''' is the steepness of a [[line]].  A positive slope rises; a negative slope falls.  Another term for slope is gradient.
  
 
For a straight line, the slope (m) is constant and represented by the difference in the vertical direction (y) divided by the difference in the horizontal direction (x):
 
For a straight line, the slope (m) is constant and represented by the difference in the vertical direction (y) divided by the difference in the horizontal direction (x):
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:: <math>m = \frac{\Delta y}{\Delta x}</math>  
 
:: <math>m = \frac{\Delta y}{\Delta x}</math>  
  
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The delta, Δ, represents the difference in values between any two points in the x or y direction for straight line.  For a curve, the delta, Δ, represents the difference in values for two points in very close proximity to each other.
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The delta, Δ, represents the difference in values between any two points in the x or y direction for straight line.  For a [[curve]], the delta, Δ, represents the difference in values for two points in very close proximity to each other.
  
 
For a straight line, another way of representing the slope (m) is as follows:
 
For a straight line, another way of representing the slope (m) is as follows:

Revision as of 02:55, October 2, 2007

Slope is the steepness of a line. A positive slope rises; a negative slope falls. Another term for slope is gradient.

For a straight line, the slope (m) is constant and represented by the difference in the vertical direction (y) divided by the difference in the horizontal direction (x):

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m = \frac{\Delta y}{\Delta x}}

The delta, Δ, represents the difference in values between any two points in the x or y direction for straight line. For a curve, the delta, Δ, represents the difference in values for two points in very close proximity to each other.

For a straight line, another way of representing the slope (m) is as follows:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}}

where the two points are located at (x1, y1) and (x2, y2).