How it rules on a Texas law requiring age verification on adult websites could shift the bounds of internet speech.

The Supreme Court on Wednesday seemed open to upholding a Texas law requiring age verification for accessing pornography online, though the debate turned murkier on the standard of scrutiny that should be applied to it and similar laws in more than a dozen states.

The Supreme Court seems open to a Texas law aimed at blocking kids from seeing online pornography. But the justices could still send it back to a lower court for more consideration of how the age verification measure affects adults’ free-speech rights.