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Answer:
x + 2y = 8
Step-by-step explanation:
All of the answer choices are in standard form, so it is convenient for comparison to put the given line in standard form. Adding 1-y to both sides, we get ...
2x -y = 1
The perpendicular line will have a slope that is the negative reciprocal of the slope of this line. Effectively, that means the coefficients of x and y will be swapped, and one of them negated. That will give you ...
x +2y = 1
Any line with these x- and y-coefficients will be parallel, hence also perpendicular to the given line. The appropriate choice is ...
x + 2y = 8 . . . . the first choice
