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