The derivative of a function is its slope. So if you need to know the slope of f(x) at x=x0, you compute the derivative f'(x) and evaluate f'(x0).
2007-01-26 00:49:55
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answer #1
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answered by catarthur 6
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Find two points on a line. They are each an ordered pair with an x value and a y value. That is, the pair looks like this: (x,y). If you have another point, you can calculate slope which is the steepness of the line. For the second point, you will also have an ordered pair (x,y). To make it easier to explain given the limitations of my keypad, I'll say the second pair is (x#2,y#2).
To calculate slope, subtract the y of one pair from the y of the other pair. Then divide that result by result you get from subtracting the CORRESPONDING x's of the two pairs.
In other words, divide either (y#2-y)/(x#2-x) or (y-y#2)/(x-x#2). It does not matter which, as long as the order is the same.
(6,2) and (4,1), for example:
(1-2)/(4-6) = -1/-2 = 1/2
ALSO (2-1)/(6-4)=1/2
Because the slope is a positive value, the line slopes upward from left to right on the Cartesian plane (the grid you are using). If it was a negative value, it would slope downward.
2007-01-26 09:14:11
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answer #2
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answered by kathyw 7
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You need two points, each with their x and y positions defined.
The simple slope equation is: m= (y2-y1) / (x2-x1)
x1 is 'X' one, x2 is 'X' number two, etc. This equation gives the straight line slope between the two points.
'm' refers to the value of the slope.
2007-01-26 09:14:36
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answer #3
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answered by Fuzzy 7
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Write the equation of the line so that y = something*x + something
The first something, which is multiplied by x, is the slope.
2007-01-26 08:50:22
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answer #4
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answered by Gnomon 6
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The way I learned is take (y1-y2)/(x1-x2)
2007-01-26 09:10:20
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answer #5
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answered by Michael U 1
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