PDF-Find the Equation of a Line Parallel or Perpendicular to Another Line

x2013 Notes Page 1 of 4 Find the Equation of a Line Parallel or Perpendicular to Another Line As we have seen when finding the equation of a line given two points there are three steps required. By: Amethyst boyd. Parallel vs. Perpendicular. Parallel. Equal distance between lines from top to bottom.. Never intersect. Same slopes. EXAMPLES:. Perpendicular. Intersect forming 90 degree lines. On same plane. Parallel and Perpendicular Lines. Perpendicular lines. are two lines that intersect to form a 90º. . angle. . Parallel and Perpendicular Lines. Parallel lines. are two lines that, if extended indefinitely, would never cross or touch. Objective Learn to recognize parallel and perpendicular lines. . Parallel and Perpendicular Lines…. A . plane. is an infinite, flat surface. Lines in a plane that never meet are called . parallel Lines. Line Segments,. Rays. Line. Line- a straight path that goes in two directions without ending.. A. B. AB. Read: “Line AB”. Ray. A ray has one end point and goes on forever in only one direction.. CD. in the (x, y) Plane. Introduction. This chapter reminds us of how to calculate midpoints and distances between co-ordinates. We will see lots of Algebraic versions as well. We will also learn to solve problems involving the equation of a circle. Methods in Graphing. Understanding Slope. AI.L.4: Represent linear functions as graphs from . equations, equations . from tables and other given . information. AI.L.7: . Solve linear . inequalities in two variables by graphing. Parallel Lines. Intersecting Lines. Perpendicular Lines. Perpendicular Lines. Parallel Lines. These lines have the same slope. But not the same y-intercept. These lines have the same slope . and the same y-intercept. . example:. ..  .  .  . where . are unit vectors in x, y and z directions..  . .  .  .  .  . Both, position vector of point A and point A have the same coordinates:. Vector as position vector of point A in . Find some examples of horizontal lines. Vertical. Think of some examples of vertical lines. Parallel. Find some examples of parallel lines. Perpendicular. Find some examples of perpendicular lines. What sort of angle is this?. Line. Line- a straight path that goes in two directions without ending.. A. B. AB. Read: “Line AB”. Ray. A ray has one end point and goes on forever in only one direction.. CD. Read: “Ray CD”. Slope of a line. . If a line passes through two points (x. 1. ,y. 1. ) and (x. 2. ,y. 2. ), then its slope is given by. The slope of a horizontal line is 0. The slope of a vertical line is undefined. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: 30. th. September 2013. x. . -. 5 . -. 4 -3 -2 -1 0 1 2 3 4 5 6. y. 4. 3. 2. 1. -1. -2. -3. -4. A. B. C. D. E. F. G. H. x. . -. 5 . -. 4 -3 -2 -1 0 1 2 3 4 5 6. Chapter 3. Parallel Lines & Transversals. Section 3.1. Vocabulary. Parallel lines. Parallel planes. Skew lines. Transversal. Consecutive interior angles . Alternate interior angles. Alternate exterior angles. Graph . Equations of Lines. Objectives:. To find the slope of a line given 2 points. To classify a line based on its slope. To find the slope of parallel and perpendicular lines. To graph the equation of a line using slope-intercept and standard form of a line.