The slope of a perpendicular line is the negative reciprocal: \( -\frac{1}{3} \).
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- #### 20/9
- A line passes through the points \( (3, 7) \) and \( (-1, -5) \). What is the slope of a line perpendicular to this line?
- The slope of the original line is \( m = \frac{7 - (-5)}{3 - (-1)} = \frac{12}{4} = 3 \).
- Using logarithmic properties: \( \log_2(x(x - 2)) = 3 \).
- Then, \( x^2 - 2x - 8 = 0 \).
- Factoring: \( (x - 4)(x + 2) = 0 \).
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