2. 2.6 Extension Writing Equations of Parallel and Perpendicular Lines

3. “parallel”

4. Parallel Lines Parallel lines have the same exact slope (“m”) and a different y-intercept (“b”). y = 2x +3 and y = 2x +11 are parallel. All vertical lines are parallel. All Horizontal lines are parallel y=2 and y =-1 are parallel x = -5 and x = 9 are parallel.

5. Determine if the lines are parallel Y All vertical lines are parallel.

6. Determine if the lines are parallel N

7. Y

8. Steps to write an equation of a line that passes through the given point and parallel to the given line 1.) Identify a parallel slope to the line 2.) Either use slope- intercept or point slope form to write your equation

9. Write an equation of a line that passes through the given point and parallel to the given line

11. Perpendicular means “at right angles” All three red lines are perpendicular to the green line.

12. Slope and Line relationships Perpendicular lines (  ): have the opposite reciprocal slopes y = 2x + 3 and y = are perpendicular. If you multiply two perpendicular slopes your product will be -1 All vertical and horizontal lines are perpendicular

13. Determine if the lines are perpendicular: Y

14. N One must be positive; the other negative.

15. Determine if the lines are perpendicular: Y

16. Steps to write an equation of a line that passes through the given point and perpendicular to the given line 1.) Identify a perpendicular slope to the line 2.) Either use slope- intercept or point slope form to write your equation

17. Write an equation of a line that passes through the given point and perpendicular to the given line

19. Homework RPJ: Page 49-50 (1-16) all