anonymous
  • anonymous
if the slope of a line is negative. does that mean the change in x is negative or the change in y??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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nenadmatematika
  • nenadmatematika
change in y
anonymous
  • anonymous
why?
anonymous
  • anonymous
Slope is defined by conventoin as rate of change of y wrt x

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anonymous
  • anonymous
huh?
asnaseer
  • asnaseer
positive slope implies y increases as x increases negative slope implies y decreases as x increases
nenadmatematika
  • nenadmatematika
you can say it like that, but it's possible that x increases and slope is zero
nenadmatematika
  • nenadmatematika
|dw:1328378057184:dw|
asnaseer
  • asnaseer
yes - that is different case: zero slope means y remains the same as x increases
nenadmatematika
  • nenadmatematika
that is one possibility
anonymous
  • anonymous
what do you mean by y increasing and x decreasing?
nenadmatematika
  • nenadmatematika
I used your language :D
asnaseer
  • asnaseer
|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:\[slope=\frac{5-1}{1-5}=\frac{4}{-4}=-1\]
asnaseer
  • asnaseer
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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