Mathematics
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OpenStudy (gorv):
tutorials on line ..all invited
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OpenStudy (gorv):
first of all the general equation of line
OpenStudy (gorv):
ax+by=c
OpenStudy (anonymous):
:/
OpenStudy (gorv):
where a,b,c are constant
OpenStudy (anonymous):
im confused
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OpenStudy (anonymous):
what is everybody doing here?
OpenStudy (anonymous):
haha
OpenStudy (gorv):
standard equation of line
OpenStudy (gorv):
y=mx+c
OpenStudy (gorv):
here
m= slope of line
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OpenStudy (gorv):
c= y intercept
OpenStudy (gorv):
now first thing how to calculate slope of line
OpenStudy (gorv):
|dw:1413387208589:dw|
OpenStudy (gorv):
we are given two point here
OpenStudy (gorv):
how to find slope thn ???
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OpenStudy (gorv):
\[m=\frac{ y2-y1 }{ x2-x1}\]
OpenStudy (gorv):
here we take y coordinate in numerator
OpenStudy (gorv):
we took y2 first and subtracted y1 from it
OpenStudy (gorv):
we will do similar in denominator
we will take x2 and will subtract x1
OpenStudy (gorv):
how to form equation of line from these 2 given point
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OpenStudy (gorv):
pick any one point ..hmmmm...lets pick (x1,y1)
OpenStudy (gorv):
equation of line will be
y-y1=slope*(x-x1)
OpenStudy (gorv):
u can also pick (x2,y2) instead of (x1,y1)
OpenStudy (gorv):
slope we calculated above
OpenStudy (gorv):
\[y-y1=\frac{ y2-y1 }{ x2-x1 }(x-x1)\]
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OpenStudy (gorv):
this is called POINT SLOPE FORM
OpenStudy (gorv):
now the standard form of equation
y=mx+c
OpenStudy (gorv):
lets consider a equation
y=2x-4
OpenStudy (gorv):
on compairing with y=mx+c
we can see m=2
OpenStudy (gorv):
so slope=2
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OpenStudy (gorv):
now how to find y intercept and x intercept of line
OpenStudy (gorv):
to calculate y intercept
put x=0 in line equation
OpenStudy (gorv):
y=2*0-4
y=0-4
OpenStudy (gorv):
y=-4
OpenStudy (gorv):
so our y intercept =-4
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OpenStudy (gorv):
now x intercept
OpenStudy (gorv):
to find x intercept put y=0
0=2x-4
OpenStudy (gorv):
add 4 on both side
4=2x and now divide by 2 on both side
OpenStudy (gorv):
2=x it is our x intercept
OpenStudy (gorv):
now remember few things
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OpenStudy (haichi):
x=2
OpenStudy (gorv):
1. parallel line have same slope
OpenStudy (gorv):
y=2x-4
line parallel to this will have same slope
OpenStudy (gorv):
that is slope =2
OpenStudy (gorv):
2.product of slope of perpendicular line =-1
m1*m2=-1
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OpenStudy (gorv):
m1=slope of first line
m2=slope of 2nd line or perpendicular line
OpenStudy (gorv):
thatzz it guyss
thankuu
OpenStudy (gorv):
any doubt regarding this??
OpenStudy (haichi):
nope not me
OpenStudy (haichi):
gorv btw how do u get human cac?
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OpenStudy (gorv):
okk buddy:)
OpenStudy (gorv):
cac means ???
OpenStudy (haichi):
caculator
OpenStudy (haichi):
soz
OpenStudy (gorv):
when u earn a number of medal ...this award is made availabe for the user
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OpenStudy (haichi):
k KEwl thnx