Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?
Answer:
Two lines passing through
are
and
We can verify this by putting
in both of the equations.
Putting
in
, we get
which is true. L.H.S is coming equal to R.H.S. It means that
passes through
.
Putting
in
, we get
which is true. L.H.S is coming equal to R.H.S. It means that
passes through
.
We can have infinite lines passing through
because infinite lines can pass through a single given point.
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