The y-axis on a coordinate grid is represented by the line where the x-coordinate is 0. Therefore, we are looking for a point where the first number (x-coordinate) is 0.
Looking at the options given:
\((0, 7)\) - This point has an x-coordinate of 0 and a y-coordinate of 7, so this point lies on the y-axis.
\((7, 1)\) - This point has an x-coordinate of 7, so it does not lie on the y-axis.
\((1, 7)\) - This point has an x-coordinate of 1, so it does not lie on the y-axis.
\((7, 0)\) - This point lies on the x-axis, not the y-axis, because the y-coordinate is 0.
Thus, the correct answer is \((0, 7)\).
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