determine the coordinates of two points on the plane with equation 5x + 4y - 3z = 6

Answer 1

let x=0, y=0, then z= -2 ---> (0,0,-2)
let x=1, y=0, then z = -1/3 -- (1,0,-1/3)

let two of the variables be anything you want, then solve for the third.

Answer 2

Just noticed that you had posted this before and Steve had answered you.
Please check your earlier posts before re-posting the same question again, to avoid unnecessary duplication of our efforts.
http://www.jiskha.com/display.cgi?id=1339787586