A. 1/7
The slope of the given line is the coefficient of x, -7. The slope of a perpendicular line will be the opposite reciprocal of that:
... -1/(-7) = 1/7 . . . . . seems to match selection A
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Comment on the answer choices
We assume this question suffers from a problem seen often on Brainly where questions and/or answers are copied and pasted without any follow-up editing to make sure the copy is faithful. Often, math symbols are special characters that get filtered out in the process.
The fraction bar commonly comes up missing. Here, that makes 1/7 look like 17, which makes the correct answer look like "none of the above."