Give the equation of two lines passing through (2,-3). How many more such lines are there and why?
Answers
Answered by
80
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)
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)
Answered by
34
1st,x+y=-1
2nd,x-y=5
there are infinite such lines passing through that point ,because many lines can pass through a single point.
2nd,x-y=5
there are infinite such lines passing through that point ,because many lines can pass through a single point.
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