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Answer :
Final answer:
To find the equation that is perpendicular to y = 1/2x - 97, we need to determine the negative reciprocal of the slope of the given equation. Only option 1, y = -2x - 97, has a slope of -2 and is therefore perpendicular.
Explanation:
To determine which equation is perpendicular to y = 1/2x - 97, we need to find the negative reciprocal of the slope of the given equation. The given equation has a slope of 1/2, so the negative reciprocal is -2. Therefore, the perpendicular equation should have a slope of -2.
Option 1: y = -2x - 97 has a slope of -2, so it is perpendicular to the given line.
Options 2, 3, and 4 do not have a slope of -2, so they are not perpendicular to the given line.
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