Algebra-1

To determine which line goes through (2, 2) and is perpendicular to , we need to analyze the equations and consider the slopes.

The given line has a slope of . Any line perpendicular to this line will have a slope that is the negative reciprocal of , which is .

Let's analyze the options:

A.
The slope of this line is , which is the negative reciprocal of . To check if it passes through (2, 2), we substitute x = 2 and y = 2 into the equation:



The point (2, 2) satisfies the equation. Therefore, line A goes through (2, 2) and is perpendicular to .

B.
The slope of this line is , which is not the negative reciprocal of . Therefore, line B is not perpendicular to .

C.

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