Let's work through the problems step-by-step.

Problems 11-16: Determine if the equations are parallel, perpendicular, or neither.

1. Problem 11:

   • Equations: $y = -3x + 6$ and $y = \frac{1}{3}x - 8$
   • Slopes: -3 and 1/3
   • Answer: Perpendicular (because the slopes are negative reciprocals).

2. Problem 12:

   • Equations: $y = \frac{5}{4}x + 1$ and $y = \frac{5}{4}x - 7$
   • Slopes: Both are 5/4
   • Answer: Parallel (because the slopes are identical).

3. Problem 13:

   • Equations: $3x + 2y = 6$ and $y = -\frac{3}{2}x + 5$
   • Rewrite $3x + 2y = 6$ in slope-intercept form: $2y = -3x + 6 \quad \Rightarrow \quad y = -\frac{3}{2}x + 3$
   • Slopes: Both are -3/2
   • Answer: Parallel (same slopes).

4. Problem 14:

   • Equations: $3y = 4x + 15$ and $9x + 12y = 12$
   • Rewrite both in slope-intercept form: $y = \frac{4}{3}x + 5$ and $y = -\frac{3}{4}x + 1$
   • Slopes: 4/3 and -3/4
   • Answer: Perpendicular (slopes are negative reciprocals).

5. Problem 15:

   • Equations: $10x - 2y = 16$ and $x + 5y = -20$
   • Rewrite both in slope-intercept form: $y = 5x - 8$ and $y = -\frac{1}{5}x - 4$
   • Slopes: 5 and -1/5
   • Answer: Perpendicular.

6. Problem 16:

   • Equations: $5x + 3y = 3$ and $3x + 5y = -25$
   • Rewrite both in slope-intercept form: $y = -\frac{5}{3}x + 1$ and $y = -\frac{3}{5}x - 5$
   • Slopes: -5/3 and -3/5
   • Answer: Neither (not equal or negative reciprocals).

Would you like to go over the remaining graph and slope-intercept problems?