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Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
Parallel and perpendicular lines in the cartesian plane
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Parallel and perpendicular lines in the cartesian plane

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The slide show review slope intercept form and provides instruction for a constructivist activity for students to discover the relationship between the slopes of two parallel or two perpendicular …

The slide show review slope intercept form and provides instruction for a constructivist activity for students to discover the relationship between the slopes of two parallel or two perpendicular lines.

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  • 1. Parallel and Perpendicular Lines in the Cartesian Plane<br />
  • 2. Stereotypes about Parallel and Perpendicular Lines<br />They are boring!<br />They have no use in life.<br />
  • 3. Just a series of lines with positive slopes…No Big Deal<br />
  • 4. Color coded to show parallel and perpendicular lines<br />
  • 5. WHOA!<br />
  • 6. I know… I’m Awesome!<br />
  • 7. Parallel and Perpendicular Lines are Everywhere <br />Maps<br />Construction<br />Artwork<br />Sports<br />
  • 8. Review:SlopeInterceptForm<br />y = mx + b<br />m is the slope of the line<br />bis the y-intercept<br />Life is easy when you’re in slope intercept form<br />
  • 9. y -intercept<br />y = mx + b<br />The y-intercept is the y value when x = 0.<br />Visually, the y-intercept is y value when the line crosses the y axis<br />http://www.mathsisfun.com/data/function-grapher.php<br />
  • 10. Slope<br />(𝑥2,𝑦2)<br /> <br />y = mx + b<br />Slope Slider<br />Slope ofvertical lines?<br />(𝑥1,𝑦1)<br /> <br />
  • 11. Identifying the Slope and the y-intercept<br />3y = 6x + 9<br />5y = 10x<br />y = -1<br />x = 3<br />Hint<br />
  • 12. Review: Finding the Equation of the Line given a Slope and a Point on the Line<br />y = mx + b<br />Given the slope, m, and a point, (x , y), then we can find b, the y-intercept. <br />b = y – mx<br />Once we find b, we can find the equation of the line.<br />
  • 13. Practice: Finding the Equation of the Line given the Slope and a Point on the Line<br />p = (-2 , 2) m = 4p = (-3 , 4) m = -2p = (-2 , 2/3) m = -4/3<br />
  • 14. Graphing Activity<br />1. Graph line segments. <br />Be sure that each endpoint is an integer coordinate, such as (1,3) or (-3,0)Compute and record their slope.<br />2. Then graph a parallel line to each of the three line segments. Compute and record the slopes of the parallel lines. Then delete the parallel lines. <br />3. Then graph a perpendicular line to each of the three line segments. Compute and record the slopes of the perpendicular lines. <br />
  • 15.
  • 16.
  • 17.
  • 18. Parallel Lines<br />
  • 19. Find the Slope of a Parallel Line<br />y = (1/3)x + 2 <br />y – 1 = 6x<br />2y = 5x + 3<br />4y = 8x<br />y = 6<br />x = -3<br />
  • 20. Perpendicular Lines<br />
  • 21. Find the Slope of a Perpendicular Line<br />y = -3x – 2<br />y = (1/3)x + 2 <br />y – 1 = 6x<br />2y = 5x + 3<br />y = 6<br />x = -3<br />
  • 22. Find the Equation of the Parallel Line that passes through the Given Point.<br />y = (1/3)x + 2 , p = (2 , -3) <br />2y = 5x + 3 , p = (1/2 , 2/3)<br />y = 6 , p = (6 , 0) <br />x = -3 , p = (1 , 2)<br />
  • 23. Find the Equation of the Perpendicular Line that passes through the Given Point.<br />y = -3x – 2 , p = (-1 , 4)<br />4y = 8x , p = (1 , 1/3)<br />y = 6 , p = (6 , 0) <br />x = -3 , p = (1 , 2)<br />

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