# Thread: parametric equation of line

1. ## 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?

2. Hello, ling_c_0202!

There must be a typo . . .

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!

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