# Geo2.25

From Example Problems

Change the equation into normal form

Case(i) c=0

In this case,the straight line passes through the origin and hence,p=0.

Now dividing the equation ax+by+c=0 by

we get

This can be interpreted as

Hence

Case(ii)

Let the normal form be

Since the above two equations represent the same line,their slopes are equal.

Now we have,

From

Now

Now

Writing these values in normal form equation

we get the normal form as