# parametric equation of line

• December 14th 2006, 10:12 PM
ling_c_0202
parametric equation of line
A line L: 2x -3y = 1 is given.
Show that the coordinates (x,y) of any point on the line L can be written as

x = 2 + 3k and y = 1 + 3k

I don't know how to show it.
Is that just by putting x = 2 + 3k and y = 1 + 3k into the equation of L?
• December 15th 2006, 07:28 AM
Soroban
Hello, ling_c_0202!

There must be a typo . . .

Quote:

A line $L\!:\;2x -3y \,= \,1$ is given.

Show that the coordinates (x,y) of any point on the line L can be written as
. . $x \:= \:2 + 3k$ and $y \:= \:1 +$2 $k$

I don't know how to show it.
Is that just by putting $x = 2 + 3k$ and $y = 1 + 2k$ into the equation of $L$?

Yes!

• December 16th 2006, 04:39 AM
ling_c_0202
Quote:

There must be a typo . . .
yea... you 're right!!
thanks a lot!