Your sentence got cut off. At the end it says "x-coordinate of this point is always " but there isn't anything after the "always". I'm assuming you meant to put 0.
If that's the case, then the statement is true. An example would be the location (0,5) which has the graph cross the y axis at 5. Another example is (0,-2) which has the y intercept at -2 on the vertical y axis number line.
