Is $H_0^1([a,b]) \subset C([a,b],\mathbb{R})$?

Is $H_0^1([a,b]) \subset C([a,b],\mathbb{R})$?

i have a small question : how to see that $H_0^1([a,b])\subset
C([a,b],\mathbb{R})$?
Please
Thank you