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Graphing linear equations and functions

Graphing linear equations and functions. Carly Cofer. 4.1 : The cartesian cooridinate system. Origin. X ~ Axis. Y ~ Axis. Quadrants. Quadrant II ( - , + ). Quadrant I ( + , + ). Quadrant III ( - , - ). Quadrant IV ( + , - ). To plot a point….

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Graphing linear equations and functions

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  1. Graphing linear equations and functions Carly Cofer

  2. 4.1 : The cartesiancooridinate system Origin X ~ Axis Y ~ Axis

  3. Quadrants Quadrant II (-,+) Quadrant I (+,+) Quadrant III (-,-) Quadrant IV (+,-)

  4. To plot a point… • Every point is written in the form ( X , Y ) • To plot the point, begin at the origin • Move horizontally along the X ~ Axis to the designated X coordinate • Than move vertically along the line of the X coordinate to the designated Y coordinate • ( 4 , -3 )

  5. Lets try it out! • ( -6, 3) • ( -9, -2) • ( 5, -2) • ( 7, 4 ) • ( 0, 8 ) • ( -10, 0)

  6. Lets try it out! Quadrant II (-,+) Quadrant I (+,+) • Without plotting the points, can you figure out what quadrant these points lie in? : • ( -7, -5) • ( 8, 1 ) • ( -9, 4) • ( 6, -3) Quadrant IV (+,-) Quadrant III (-,-)

  7. Scatter Plots • A Scatter Plot is a specific type of graph which has multiple sets of coordinate pairs • These pairs of points are typically organized in a data table • Each pair is plotted on the same graph • This type of graph is often used to interpret data and trends in real world applications

  8. Scatter Plots Scatter Plot Data Table

  9. real world Example Create a scatter graph for the data table Number of teens with cell phones 1000 900 800 700 600 500 400 300 200 100 0 13 14 15 16 17 18 19 20 21 22

  10. real world Example Cell phone scatter graph 1000 900 800 700 600 500 400 300 200 100 0 • Interpretation of the data : • 1~ At what age do the greatest amount of teens have cell phones? • 2~ At what age do the least amount of teens have cell phones? • 3~ How many 14 year olds have cell phones? • 4~ What is the greatest amount of cell phone carrying teens at any age? • 5~ What is the least amount of cell phone carrying teens at any age? • 6~ About how many 17.5 year olds have cell phones? 13 14 15 16 17 18 19 20 21 22

  11. Lets try it out! 10 9 8 7 6 5 4 3 2 1 0 • Lets try a real world example of our own! • Cell phone service providers • Interpretation of the data : • 1~ What provider(s) is used by the greatest amount of students? • 2~ What provider(s) is used by the least amount of students? • 3~ How many students use Verizon? • 4~ What is the greatest amount of students using the same provider? • 5~ What is the least amount of students using the same provider? A V T M C S O

  12. In class exercises • Page 206 • 3, 4, 5, 6, 7 & 8

  13. On the calculator • 2nd Y = [STAT PLOT] • 1 : Plot1…On • Make sure Plot1 is in the on position • GRAPH • STAT • 1 : Edit • For L1, enter in the X values • For L2, enter in the Y values • WINDOW • Adjust values for • Xmin, • Xmax • Xscale • Ymin • Ymax • Yscale

  14. try it yourself! • Page 206 • 10, 12, 16, 18, 20, 22, 24 & 25 Good Luck!

  15. Works cited • "Coordinate Grids." Chart. ClipArt ETC. First Last. Web. 23 Oct 2011. <http://etc.usf.edu/clipart/galleries/math/coordinate_grids>. • Larson, Ron on, Laurie Laurie Boswell, and Timothy Timothy D. Kanold. Algebra 1. McDougal Littell/Houghton Mifflin, 2006. 202~209. Print.

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