1. 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

2. Questions?

3. 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.

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

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

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

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

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

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

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

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

12. Apply!