1. 5.6 Parallel and Perpendicular Equations

2. Parallel Lines – lines in the same plane that do NOT intersect
Parallel Lines – lines in the same plane that do NOT intersect. Parallel lines have the SAME slope.
E1 -4 E2 E3 0

3. Perpendicular Lines – lines that intersect at right angles.
Perpendicular lines have slopes that are opposite reciprocals of each other. (Change the sign and flip the fraction)
E4 7 E5 E6 0
Vertical and horizontal lines are perpendicular to each other.

4. Ex 7 Identify the slope of the following equation and then identify the parallel and perpendicular slopes.

5. Ex 8 Identify the slope of the following equation and then identify the parallel and perpendicular slope.

6. Ex 9 Identify the slope of the following equation and then identify the parallel and perpendicular slope.

7. Ex 10 Write the slope-intercept form of a line through (7, -1) and parallel to the graph of

8. Ex 11 Write the slope-intercept form of a line through (4, -1) and perpendicular to the graph of

9. Ex 12 Write the slope-intercept form of a line parallel to the graph of 2y + 5x = 2 that passes through (0, 6).

10. Ex 13 Write the slope-intercept form of a line perpendicular to the graph of 2y + 5x = 2 that passes through (0, 6).

11. Ex 14 Write an equation of the line that is parallel to the y-axis and passes through the point (-4, 2).
What does a line that is parallel to the y-axis look like? (vertical or horizontal)
Remember HOY and VUX…
What should the equation look like?

12. Ex 15 Write an equation of the line that is perpendicular to the y-axis and passes through the point (-4, 2).
What does a line that is perpendicular to the y-axis look like? (vertical or horizontal)
Remember HOY and VUX…
What should the equation look like?

13. Determine if the following equations are parallel, perpendicular or neither
Ex Ex 17

14. Pg 159 #1-29