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anonymous
 one year ago
How do I find if a slope is defined?
anonymous
 one year ago
How do I find if a slope is defined?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The slope is defined as long as the line isn't vertical. If two points have the same xcoordinate, the slope isn't defined.

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1The slope of a straight line is defined as the ratio of of the change in ycoordinate, to the change in xcoordinate: \[m = \frac{\Delta y}{\Delta x} = \frac{y_2y_1}{x_2x_1}\] As @peachpi points out, if \(x_2\) is the same value as \(x_1\), the fraction get a zero in the denominator. A fraction with a zero in the denominator is not mathematically equal to any number, meaning the slope would be undefined in this case.

anonymous
 11 months ago
Best ResponseYou've already chosen the best response.0dw:1455345424086:dw This is an example of an undefined slope.
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