logging in or signing up Line relationships dawn.psurny Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 1138 Category: Education License: All Rights Reserved Like it (0) Dislike it (0) Added: May 23, 2008 This Presentation is Public Favorites: 0 Presentation Description Parallel and perpendicular lines Comments Posting comment... By: pakpituk (27 month(s) ago) It"s Good!!! ^^ Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript Line relationships : Line relationships Parallel and perpendicular lines. Slide 2: Line Relationships (Parallel Lines) Vocabulary Review : Parallel lines are lines that are always the same distance apart and never intersect. Perpendicular lines are lines that will intersect (cross) at right angles. Vocabulary Review What do the equations of parallel lines look like? : What do the equations of parallel lines look like? Graph the lines in the same coordinate plane. Line 1: y = 3x + 4 Line 2: y = 3x + 7 Solution: Line 1: y = 3x + 4 x = 0, y = 4 x = 1, y = 7 Line 2: y = 3x + 7 x = 0, y = 7 x = - 1, y = 4 Parallel lines are lines that are always the same distance apart and never intersect. You don’t have to graph to tell if lines are parallel. : You don’t have to graph to tell if lines are parallel. Line 1: y = 3x + 4 Line 2: y = 3x + 7 Since the equations of the lines are already in Slope-Intercept Form, it is easy for us to find the slope and y-intercepts of each line. y=3x + 7 y=3x + 4 slope is m =3 slope is =3 y-intercept is b=7 y-intercept=4 y= mx + b You should notice that both lines have the same slope of 3 and different y-intercepts. Let’s try another : Let’s try another Are the following lines parallel?4x + 2y = 8 and 2x + y = -3 Since the equations are in Standard Form and not in Slope-Intercept Form, it is not easy to tell what the slopes are. We will need to solve each equation for y for them to be in Slope-Intercept Form. Did you notice? : Did you notice? For the lines of the graphs are parallel, the slopes are equal, and the y-intercepts are not equal. slope = m = - 2 slope = m= - 2 y-intercept = b = 4 y-intercept = b= - 3 Your turn- : Your turn- 1. What is the slope of the line for the equationy = -2x + 4? 2. What is the slope of the line for the equation y = -2x – 3? 3. Are the y-intercepts equal to one another? 4. Are these lines parallel? -2 -2 no YES! Slide 9: Parallel Lines: Two nonvertical lines are parallel if and only if they have the same slope. You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
Line relationships dawn.psurny Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 1138 Category: Education License: All Rights Reserved Like it (0) Dislike it (0) Added: May 23, 2008 This Presentation is Public Favorites: 0 Presentation Description Parallel and perpendicular lines Comments Posting comment... By: pakpituk (27 month(s) ago) It"s Good!!! ^^ Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript Line relationships : Line relationships Parallel and perpendicular lines. Slide 2: Line Relationships (Parallel Lines) Vocabulary Review : Parallel lines are lines that are always the same distance apart and never intersect. Perpendicular lines are lines that will intersect (cross) at right angles. Vocabulary Review What do the equations of parallel lines look like? : What do the equations of parallel lines look like? Graph the lines in the same coordinate plane. Line 1: y = 3x + 4 Line 2: y = 3x + 7 Solution: Line 1: y = 3x + 4 x = 0, y = 4 x = 1, y = 7 Line 2: y = 3x + 7 x = 0, y = 7 x = - 1, y = 4 Parallel lines are lines that are always the same distance apart and never intersect. You don’t have to graph to tell if lines are parallel. : You don’t have to graph to tell if lines are parallel. Line 1: y = 3x + 4 Line 2: y = 3x + 7 Since the equations of the lines are already in Slope-Intercept Form, it is easy for us to find the slope and y-intercepts of each line. y=3x + 7 y=3x + 4 slope is m =3 slope is =3 y-intercept is b=7 y-intercept=4 y= mx + b You should notice that both lines have the same slope of 3 and different y-intercepts. Let’s try another : Let’s try another Are the following lines parallel?4x + 2y = 8 and 2x + y = -3 Since the equations are in Standard Form and not in Slope-Intercept Form, it is not easy to tell what the slopes are. We will need to solve each equation for y for them to be in Slope-Intercept Form. Did you notice? : Did you notice? For the lines of the graphs are parallel, the slopes are equal, and the y-intercepts are not equal. slope = m = - 2 slope = m= - 2 y-intercept = b = 4 y-intercept = b= - 3 Your turn- : Your turn- 1. What is the slope of the line for the equationy = -2x + 4? 2. What is the slope of the line for the equation y = -2x – 3? 3. Are the y-intercepts equal to one another? 4. Are these lines parallel? -2 -2 no YES! Slide 9: Parallel Lines: Two nonvertical lines are parallel if and only if they have the same slope.