A line has slope -3/4. What is the slope of a line perpendicular to it?

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Multiple Choice

A line has slope -3/4. What is the slope of a line perpendicular to it?

Explanation:
Perpendicular lines have slopes that are negative reciprocals of each other. So if one line has slope -3/4, the line perpendicular to it must have a slope m that satisfies (-3/4) × m = -1. Solving for m gives m = (-1) / (-3/4) = 4/3. Checking: (-3/4) × (4/3) = -1, confirming perpendicularity. Therefore, the slope is 4/3. This works because it’s the negative reciprocal of -3/4.

Perpendicular lines have slopes that are negative reciprocals of each other. So if one line has slope -3/4, the line perpendicular to it must have a slope m that satisfies (-3/4) × m = -1. Solving for m gives m = (-1) / (-3/4) = 4/3. Checking: (-3/4) × (4/3) = -1, confirming perpendicularity. Therefore, the slope is 4/3. This works because it’s the negative reciprocal of -3/4.

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