What is the slope of the line at point (2,3)
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for finding slope.. we either require a equation of line... let it be ax+by=c
differentiate wrt x
a+b(dy/dx)=0
dy/dx=-a/b
here it is independent of point.... in other cases we will put the point in place of X and y at which we want to find the slope of line
OR
AS u are saying
in that respect
........
slope of line is defined as the tangent of angle( that is tan α ) made by the line with the positive X axis....
for example y=x line
Dy/dx=1
which shows y=x line makes 45 degree with positive X axis as tan45=1
differentiate wrt x
a+b(dy/dx)=0
dy/dx=-a/b
here it is independent of point.... in other cases we will put the point in place of X and y at which we want to find the slope of line
OR
AS u are saying
in that respect
........
slope of line is defined as the tangent of angle( that is tan α ) made by the line with the positive X axis....
for example y=x line
Dy/dx=1
which shows y=x line makes 45 degree with positive X axis as tan45=1
vipprajapati2:
if you will take straight line then it will cut on two point So only curved has only point
no.... that tangent is different... when we talk abt slope we talk about tan of trigonometry... also known as tangent
we can also find the slope of the curved without tan
the dy/dx itself is tanα,,,
by the equation of y=x^2
Yup.... dy/dx=2x
I think you have got it
so.. that"s what I am talking.... tanα=2a... at point x
the slope of the line will be 6
see in answer I have added an example.
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