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?

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- Dec 14th 2006, 10:12 PMling_c_0202parametric 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? - Dec 15th 2006, 07:28 AMSoroban
Hello, ling_c_0202!

There must be a typo . . .

Quote:

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

Show that the coordinates (x,y) of any point on the line L can be written as

. . $\displaystyle x \:= \:2 + 3k$ and $\displaystyle y \:= \:1 + $**2**$\displaystyle k$

I don't know how to show it.

Is that just by putting $\displaystyle x = 2 + 3k$ and $\displaystyle y = 1 + 2k$ into the equation of $\displaystyle L$?

Yes!

- Dec 16th 2006, 04:39 AMling_c_0202Quote:

There must be a typo . . .

thanks a lot!