1. A hand rail is installed along the stairs of a new house as shown in the figure. The table shows the distance, in inches, of the top rail f(x) and bottom rail g(x) from the floor for the middle of each numbered step x. Determine the slope of each rail. Are the top and bottom rails parallel? X f(x) g(x) 1 9 43 16 50 23 57 23 Use the figure for Exercises 2-9. Determine whether each pair of lines are parallel or perpendicular. Write yes or no. 2. q and v, parallel 3. r and s, parallel 4. r and t, parallel 5. s and u, parallel 6. q and s, perpendicular 7. q and v, perpendicular 8. r and s, perpendicular 9. t and v, perpendicular -6 10. y=2x+7; (0, 1) 11. y=x+2; (3, 5) 12. y=-5x-(-4, 2) 6 0 g(x) Write the equations for the line parallel and the line perpendicular to the given line passing through the given point. t