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Graphs of Linear Equations
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1)Copy and complete the ordered pairs using the equation y = 3x + 2 (-4, -10) (-2, ? ) (0, ? ) (2, ? ) (4, ? ) 2) Graph each ordered pair in a coordinate plane 3) Connect the points. What pattern do you notice? 4) Find 3 more solutions of the equation. Locate each solution in the coordinate plane. What do you notice? 5) Make a final summary about the graph of all solutions of the equation y = 3x + 2
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Vocabulary Linear Equation – two variables are in separate terms and each variable is to the first power- the graph of a linear equation is a line Exs: y = x -1 Not Exs: 24 = rt 3p + 5q = 16 a + b = c s = 0.2t
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Graphing To graph an equation, choose several values for x (input) and make a table of values for x and y Graph the ordered pairs and connect the points- should form a line
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Graphing Examples 1) y = 0.5x + 1 2) y = x + 4
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Graphing Examples 3) y = -2x – 3 4) y – x = 6
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Using A Graph Sue’s hair is 3 inches long. If her hair grows 0.5 inches per month, you can model the length l of her hair in inches using the equation l = 0.5m + 3 where m is the time in months a.Graph the equation b.Using your graph, estimate how many months it will take Sue to grow her hair to 5.5 inches
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Vertical and Horizontal Lines Linear equations that have one variable are vertical and horizontal lines Vertical: x = 3, this is a vertical line passing through the point (3, 0)- for all y values the x value is 3 Horizontal: y = -5, this is a horizontal line passing through the point (0, -5)- for all x values the y value is -5
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Practice Page 558 # 1 - 7
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