5 5 Parallel and Perpendicular Lines SWBAT verbally
5. 5 Parallel and Perpendicular Lines SWBAT verbally tell me how the slope of parallel lines and perpendicular lines are related. They can find the equation of a line parallel/perpendicular to a given line that passes through a given point. http: //apod. nasa. gov/apod/ The Dark Doodad Nebula
10/9 Do Now 1. Find the reciprocal of each fraction a. b. c. d. 2. Find the slope and y-intercept of each equation
Let’s Talk about that Test All binder check and Unit 1 test grades are in Power. School n I am not giving a re-test or extra credit n Everyone needs to learn the importance of studying n
On a Separate Sheet of Paper… Answer the following: 1. Are you satisfied with you grade? 2. What do you plan to do differently for the next test? 3. What can I do differently to help you succeed? 4. What grade do you want on your next unit exam?
Quick Review/Preview 1. What is the Slope-Intercept Form? y = mx + b 2. What is the Standard Form? Ax + By = C 3. Find the “negative reciprocal” of each fraction
Overview Parallel Lines and Perpendicular Lines n Property of their slopes n Write equations for each type of lines n
Parallel Lines - lines that never intersect What is the slope of the red line? 1/2 What is the slope of the blue line? 1/2 Parallel Lines have the same slope!
Parallel Lines Determine if the lines are parallel 1. 2 x + 6 y = 12 6 y = -2 x + 12 yes
Parallel Lines Determine if the lines are parallel 2. 6 x + 8 y = -24 8 y = -6 x – 24 No
Parallel Lines Determine if the lines are parallel 3. 4 x + 6 y = -2 6 y = -4 x – 2 No
Equations of Parallel Lines 4. Write an equation for the line that contains has a y-intercept of 5 and is parallel to
Equations of Parallel Lines 5. Write an equation for the line that has a y -intercept of 2 and is parallel to
Perpendicular Lines – lines that intersect to form right angles What is the slope of the red line? -1/4 What is the slope of the blue line? 4/1 Perpendicular Lines have negative reciprocal slope!
Perpendicular Lines What is the slope of the perpendicular line? 7. -5/2 8. 5/1 = 5 9. 1/2
Equations of Perpendicular Lines 10. Write an equation of a line that is perpendicular to y = 5 x + 3
Equations of Perpendicular Lines 11. Write the equation of the line is perpendicular to
Perpendicular Lines 13. Determine if the lines are perpendicular: and No 14. Determine if the lines are perpendicular: and Yes
Challenge What is the slope of the line that is parallel to x = 4? undefined n What is the slope of the line that is perpendicular to x = 4? zero n
Wrap Up n n Parallel lines ¨ Slopes ¨ Determine if two lines are parallel ¨ Write equations of parallel lines Perpendicular lines ¨ Slopes ¨ Determine slope of perpendicular lines ¨ Write equations of perpendicular lines
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