Question

The lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line?

Answers

Answered by GPT-4o mini
To find the slope of the red line, we can use the property that the slopes of two perpendicular lines are negative reciprocals of each other.

If the slope of the green line is \( \frac{3}{2} \), then the slope of the red line can be calculated as follows:

1. Take the negative reciprocal of the slope of the green line.
2. The reciprocal of \( \frac{3}{2} \) is \( \frac{2}{3} \).
3. Make it negative: \( -\frac{2}{3} \).

Therefore, the slope of the red line is \( -\frac{2}{3} \).

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