Graphs of Linear Equations. 1)Copy and complete the ordered pairs using the equation y = 3x + 2 (-4, -10) (-2, ? ) (0, ? ) (2, ? ) (4, ? ) 2) Graph each.

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Presentation transcript:

Graphs of Linear Equations

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

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

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

Graphing Examples 1) y = 0.5x + 1 2) y = x + 4

Graphing Examples 3) y = -2x – 3 4) y – x = 6

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

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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