give the equation of two lines passing through point(2,3)
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Infinite lines can be drawn from one point .because one point no give fixed slope e.g possibility of slope is infinity hence lines can be drawn infinity.
let m is the slope of lines then ,
(y+3)=m (x-2)
y+3=mx-2m
mx-y=3+2m
hence this is family of equation which passes through (2,-3)
now ,
put m=1
x-y=5
m=2
2x-y=7
now equations x-y=5 and 2x-y=7 are two lines which passes through (2,-3)
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