To determine which lines are perpendicular, we need to examine their slopes. Perpendicular lines have slopes that are negative reciprocals of each other.

From the image, the equations and their slopes are as follows:

1. Line A: $y = -5x + 3$

   • Slope of Line A: $m = -5$

2. Line B: $y = -\frac{1}{6}x - 1$

   • Slope of Line B: $m = -\frac{1}{6}$

3. Line C: $y = 5x + 2$

   • Slope of Line C: $m = 5$

4. Line D: $y = \frac{1}{5}x - 2$

   • Slope of Line D: $m = \frac{1}{5}$

Now, we need to find pairs of lines with slopes that are negative reciprocals.

• The slope of Line A is $-5$, and the slope of Line C is $5$. These are negative reciprocals: $-5 \cdot 5 = -25 \neq -1 \quad \text{(not perpendicular)}$