Quote:
Originally Posted by krajkumar6 hi,
What does it mean when we know that the slope of a line is -1/10 or(a negative value)?
I want to know what we can gather from that information.
Raj |
hi raj,
slant of the line can be very much understood by its slope...
we know, slope = m = tan @ = (y2-y1)/(x2-x1)...
Let @ be the inclination of line in degrees
wrt. Positive X- Axis...
Then :
1) When
@ is acute, slope is positive
2) and
when @ is obtuse, slope is negative...( or acute inclination of line wrt to negative X-Axis )
3) when
line is parallel to X - Axis slope is zero
4) When
line is parallel to Y-Axis slope is not defined..
To put things in perspective, slope is dependent on inlination @ wrt to +ve X-Axis .
When 0<@<45 : 0<m<1
When, @=45, m= 1
When 45<@<90 ; 1<m<tending to infinity
when @ = 90 ; slope = not defined
when 90<@<135 ; -tending to infinity <m < -1
When @ = 135 ( or 45 degrees wrt to -ve X-Axis ) ; m= -1
when 135< @< 180 ; -1<m<0...
this takes care of entire range of angles from 0 to 180 and its corresponding slope...
so, slope of -1/10 implies, line makes an obtuse angle wrt to X axis or it is inclined towards -ve X axis such that for evry 1 unit change in Y axis there is 10 units change in X axis..
Simply ,line can be considered to be passing thru pts A (0,1) and B(10, 0)..
not necessarily just thru these 2 pts...this is just to give an eg..
hope this clears your doubt ...