Warm Up The warm up worksheet is on

Warm Up • The warm up worksheet is on the podium. Do the odds only. Answers will be up shortly. DO NOT LOSE THIS WORKSHEET!!! • After the warm up, begin the station discovery lesson. Your work will be collected and graded!

Warm Up Given: (3, -5) and (-2, 1) on a line. Find each of the following: 1. Slope of the line 2. Point-Slope equation of the line 3. Slope-Intercept equation of the line 4. Standard equation of the line. 5. x-intercept of the line 6. y-intercept of the line

Questions?

Parallel and Perpendicular Lines Objective: To learn how to… 1) determine whether two lines are parallel or perpendicular, 2) write the equation for a line parallel or perpendicular to a given line and a given point. parallel lines – are lines in the same plane that do not intersect. perpendicular lines – are lines in the same plane that intersect to form right angles.

Parallel Lines Ø Two nonvertical lines are parallel if they have the same slope and different y-intercepts. Ø Any two vertical lines are parallel.

Example 1 Write an equation of a line that contains the given point and is parallel to the given line. (4 , 1) y = 3 x – 2

Example 2 Write an equation of a line that contains the given point and is parallel to the given line. •

Example 3 Write an equation of a line that contains the given point and is parallel to the given line. (6 , -2) 3 x + 2 y = 8

Perpendicular Lines Ø Two lines are perpendicular if the product of their slopes is -1. The slopes are opposite & reciprocal of each other. Ø A vertical and a horizontal line are perpendicular.

Example 4 Write an equation of a line that contains the given point and is perpendicular to the given line. •

Example 5 Write an equation of a line that contains the given point and is perpendicular to the given line. •

Example 6 Write an equation of a line that contains the given point and is perpendicular to the given line. (9 , -3) y = 3 x + 8

Apply!

Apply!