Yes; that's correct; I agree. For example, Are you leaving early?—That's right, I have to go now, or So you were classmates?—That's right. [c. 1900]
Alright vs. All RightWhat’s the difference between alright and all right? Are all right and alright interchangeable? All right has a range of meanings including: “safe,” as in “Are you all right?” “reliable; good,” as in “That fellow is all right.” as an adverb, it means “satisfactorily,” as in “His work is coming along all right” “yes,” as in “All right, I’ll go with you.” The form alright is a one-word spelling …
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.