60 likes | 326 Views
Section 5.6: Perpendicular Lines. Int. Math I. Perpendicular Lines. - Note: Two lines in a plane are perpendicular if they intersect at a right or 90 degree angle. When are lines perpendicular? (1) Two non-vertical lines are perpendicular when the product of their slops is -1.
E N D
Section 5.6: Perpendicular Lines Int. Math I
Perpendicular Lines - Note: Two lines in a plane are perpendicular if they intersect at a right or 90 degree angle. When are lines perpendicular? (1) Two non-vertical lines are perpendicular when the product of their slops is -1. (2) Horizontal and vertical lines are perpendicular!!!
Example #1: Identifying Perpendicular Lines Directions: Determine whether the lines are perpendicular. Slope = Slope = Product =
Try this problems!!! Directions: Determine whether the lines are perpendicular. (1) (2)
Example #2: Show that lines are perpendicular Directions: Write the equation of the line passing through the two points. Show that this line is perpendicular to the given line. (2,5) and (4,4); y = 2x + 1 (1) Find the slope (2) Pick a point (3) Use point-slope (4) Get into slope-int. (5) Show lines are perpendicular
Try this problem!!! Directions: Write the equation of the line passing through the two points. Show that this line is perpendicular to the given line. (0,0) and (1,2); y = - ½ x + 7 (1) Find the slope (2) Pick a point (3) Use point-slope (4) Get into slope-int. (5) Show lines are perpendicular