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Mathematics 8 Online
OpenStudy (anonymous):

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

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

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?

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:\[slope=\frac{5-1}{1-5}=\frac{4}{-4}=-1\]

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