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anonymous

  • 4 years ago

if the slope of a line is negative. does that mean the change in x is negative or the change in y??

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  1. nenadmatematika
    • 4 years ago
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    change in y

  2. anonymous
    • 4 years ago
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    why?

  3. anonymous
    • 4 years ago
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    Slope is defined by conventoin as rate of change of y wrt x

  4. anonymous
    • 4 years ago
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    huh?

  5. asnaseer
    • 4 years ago
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    positive slope implies y increases as x increases negative slope implies y decreases as x increases

  6. nenadmatematika
    • 4 years ago
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    you can say it like that, but it's possible that x increases and slope is zero

  7. nenadmatematika
    • 4 years ago
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    |dw:1328378057184:dw|

  8. asnaseer
    • 4 years ago
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    yes - that is different case: zero slope means y remains the same as x increases

  9. nenadmatematika
    • 4 years ago
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    that is one possibility

  10. anonymous
    • 4 years ago
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    what do you mean by y increasing and x decreasing?

  11. nenadmatematika
    • 4 years ago
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    I used your language :D

  12. asnaseer
    • 4 years ago
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    |dw:1328378129883:dw| if you look at this line, the slope is negative. it could be calculated by either working out the changes from A to B OR by working out the changes from B to A. so, from A to B we get:\[slope=\frac{1-5}{5-1}=\frac{-4}{4}=-1\] and from B to A we get:\[slope=\frac{5-1}{1-5}=\frac{4}{-4}=-1\]

  13. asnaseer
    • 4 years ago
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    so you can see that a negative slope can be worked out with either a negative change in x or a negative change in y. it depends on how you pick your two points.

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