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anonymous

  • one year ago

How do I find if a slope is defined?

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  1. Daniel14
    • one year ago
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    examples?

  2. anonymous
    • one year ago
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    The slope is defined as long as the line isn't vertical. If two points have the same x-coordinate, the slope isn't defined.

  3. UnkleRhaukus
    • one year ago
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    The slope of a straight line is defined as the ratio of of the change in y-coordinate, to the change in x-coordinate: \[m = \frac{\Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}\] 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.

  4. anonymous
    • 11 months ago
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    |dw:1455345424086:dw| This is an example of an undefined slope.

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