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Graphing Linear Equations using Table of values

Graphing Linear Equations using Table of values. Graphing Using a Table of Values. A table of values is a list of numbers that are used to substitute one variable, to find the value of the other variable, or missing number. Each row in a table of values represents a coordinate on the line.

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Graphing Linear Equations using Table of values

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  1. Graphing Linear Equations using Table of values

  2. Graphing Using a Table of Values • A table of values is a list of numbers that are used to substitute one variable, to find the value of the other variable, or missing number. • Each row in a table of values represents a coordinate on the line. • If you are asked to graph a relationship based on its equation, a table of values forms a set of ordered pairs that can be plotted.

  3. Table of Values: • Choose x-values (e.g. –2, –1, 0, 1, 2) • Calculate y-values • Ex. 5 (–2, 5) 3 (–1, 3) 1 (0, 1) -1 (1, –1) -3 (2, –3)

  4. Graphing the Table of Values • Plot the points • Draw a line through • Place arrows on ends • Label y (–2, 5) (–1, 3) x (0, 1) (1, –1) (2, –3)

  5. Table of Values: • Choose x-values • Calculate y-values • Ex. -2 (–2, –2) 1 (–1, 1) 4 (0, 4) 7 (1, 7) 10 (2, 10)

  6. Graphing the Table of Values • Plot the points • Draw a line through • Place arrows on ends • Label y (–2, -2) (–1, 1) x (0, 4) (1, 7) (2, 10)

  7. Try these examples:

  8. More Examples Create a table of values and a graph for each situation below. a) To hold a banquet, it costs $150 to rent the hall, plus $25 for every person attending

  9. Graph 300 275 250 225 200 175 150 1 2 3 4 5 6 7 8 Number of People Attending

  10. Linear vs. Non-linear RelationsANDFirst Differences

  11. A linear relation is a relationship between two variables where when you plot their values on a coordinate system, you get a straight line • A linear relation may be modeled in 3 ways: An equation A table of values A graph y (–2, -2) (–1, 1) (0, 4) x (1, 7) (2, 10)

  12. WHICH OF THE FOLLOWING IS LINEAR!

  13. First Differences • First differences allow you to determine whether a relationship is linear or non-linear, without having to graph the data. LINEAR NON LINEAR

  14. The x-values must be consecutive. • In other words, they must increase by the same amount • If the relationship is linear – the first differences will be the same!!

  15. Determine if the following relationships are linear or non-linear. • First differences are the same…LINEAR 5 – 1 = 4 9 – 5 = 4 13 – 9 = 4 17 – 13 = 4

  16. Determine if the following relationships are linear or non-linear. • First differences are the NOT the same… • NON-LINEAR 8 – 16 = -8 4 – 8 = -4 2 – 4 = -2 1 – 2 = -1

  17. Home Work • Page 8 and 9 (All Questions) • Page 10 (Question 10 only)

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