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Finding Slope from Graphs and Tables

Finding Slope from Graphs and Tables. Wednesday, September 17, 2014. rise run. vertical change horizontal change. Slope is a number that describes how steep a line is. slope =. =. Slope of AB. = 8/6 = 4/3. Slope of CD. = -3/6 = -1/2. What does slope mean?.

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Finding Slope from Graphs and Tables

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  1. Finding Slope from Graphs and Tables Wednesday, September 17, 2014

  2. riserun vertical change horizontal change Slope is a number that describes how steep a line is. slope = = • Slope of AB = 8/6 = 4/3 Slope of CD • = -3/6 = -1/2

  3. What does slope mean? A taxi cab charges a $4 initial fee, plus $1 per mile. X Y c o s t miles

  4. Slope • The slope of a horizontal line is 0. • The slope of a vertical line is undefined.

  5. XY 5 4 –5 –4 slope of XY = = Examples Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. positive slope

  6. slope of ZA = = – –1 2 1 2 Examples: Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. ZA negative slope;

  7. slope of BC is undefined Examples: Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. BC

  8. slope of DM = 0 Examples: Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. DM

  9. AB positive slope; slope of AB = 1 8 Examples: Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A C E F G H D

  10. slope of CD is undefined Examples: Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A CD C E F G H D

  11. slope of EF = 0 Examples: Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A EF C E F G H D

  12. negative slope; slope of GH = = – –1 3 1 3 Examples: Determine if the slope of each line is positive, negative, 0, or undefined. Then find the slope of each line. B A GH C E F G H D

  13. 3 2 slope of EF = 3 5 slope of GH = 3 5 slope of PQ = –2 3 2 3 slope of CD = or – 3 –3 slope of QR = or –1 Examples: Find the slope of each line.

  14. Draw a line with the given slope through the point. Slope =

  15. y y 5 5 4 4 3 3 2 2 1 1 x x -5 -5 -5 -5 -4 -4 -3 -3 -2 -2 -1 -1 1 1 2 2 3 3 4 4 5 5 5 5 -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -5 -5 Draw a line with the given slope through the point. Slope = 3 Slope =

  16. The values in the table, when graphed form a line. Graph the values on a coordinate plane. Draw a line. Find the slope of the line. Finding Slope from Tables

  17. Notice the change in the y values compared to the change in x values. What is the slope? Finding Slope from Tables +1 +1 +1 +3 +3 +3

  18. The values in the table, when graphed form a line. Graph the values on a coordinate plane. Draw a line. Find the slope of the line. Finding Slope from Tables

  19. Notice the change in the y values compared to the change in x values. What is the slope? Finding Slope from Tables +1 +1 +1 +4 +4 +4

  20. y = -2x Use the equation to make a table. Graph the values on a coordinate plane. Draw a line. Find the slope of the line. Finding Slope from Equations

  21. Finding Slope from Equations • Use the equation to make a table. • Graph the values on a coordinate plane. • Draw a line. • Find the slope of the line.

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