Forum:Is a muggle born and a half blood all get called mud blood? or is muggle born synonamous for mud blood?

I there a difference between a muggle born and a mud blood? I thought there were muggle born (no wizard parents) and half blood(one wizard parent, and true bloods( both wizard parents) with the slang mud blood applying to both muggle born and half blood and a dirty lineage slang. My son thinks a half blood cannot be called a mud blood. Who is right? email to nicoleandgbae@verizon.net your thoughts