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How do you determine the Spellcasting ability and the spell attack bonus? I've tried searching for it in the player's handbook and searched for answers here, but I haven't found anything.

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Page 114 of the player's handbook under the Spellcasting Ability header lists the ability and relevant spell modifiers for wizards:

Intelligence is your spellcasting ability for your wizard spells...You use your intelligence whenever a spell refers to your spellcasting ability:

Spell save DC = 8 + your proficiency bonus + your Intelligence modifier
Spell attack modifier = your proficiency bonus + your Intelligence modifier

Note that the same rules can be found on page 32 of the basic rules

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  • \$\begingroup\$ Is the spell casting ability just intelligence, because I read somewhere just barely that it was intelligence minus 10 divided by 3 \$\endgroup\$ – VapeNation420 Mar 15 '17 at 18:04
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    \$\begingroup\$ @VapeNation420 Your Intelligence Modifier is different from your Intelligence Score. This shouldn't be discussed in comments, so I'd recommend doing some additional research on that, either by asking another question, or reading more of the player's handbook. \$\endgroup\$ – inthemanual Mar 15 '17 at 18:09
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    \$\begingroup\$ @VapeNation420 that's not at all a thing in 5e. Be sure that the things you read "somewhere" are talking about D&D's 5th edition, not an earlier one. \$\endgroup\$ – nitsua60 Mar 15 '17 at 18:10
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The spellcasting ability is Intelligence.
The proficiency bonus is in the Wizard table of PHB p113.

Your Spell save DC equals 8 + proficiency bonus + Intelligence modifier.
Your Spell attack modifier equals proficiency bonus + Intelligence modifier.

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