Slope in Mathematics
Slope in mathematics describes the steepness of a line, whether positive or negative based on its direction. Learn about the definition of slope, how to find it using specific formulas, and the characteristics of horizontal and vertical lines. Explore examples and gain insights into the concept of slope through visual representations.
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Presentation Transcript
Slope of a Line Slope basically describes the steepness of a line
If a line goes up from left to right, then the slope has to be positive Conversely, if a line goes down from left to right, then the slope has to be negative
Definitions of Slope Slope is simply the change in the vertical distance over the change in the horizontal distance rise y y y = = = = 2 1 slope m run x x x 2 1
y y = 2 1 m x x 2 1 The formula above is the one which we will use to find the slope of specific lines In order to use that formula we need to know, or be able to find 2 points on the line
If a line is in the form Ax + By = C, we can use the following formula to find the slope: A = m B
Examples ) 4 ( ) ( 6 + = 2 3 5 x y 4 , 1 , 6 , 5 2 = m = m ( ) 3 5 1 2 1 = = m 6 3
Horizontal lines have a slope of zero while vertical lines have no slope m = 0 Vertical Horizontal m = no slope
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