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Review Plot (3,5) (-4,3) (0,4) (-2,0) Identify the coordinate.
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4.2 Graphing Linear Equations
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NOTES Solution of equation: 2 variables (x and y) is an ordered pr. that makes equation true. Ex: x + 3y = 6 Solution: (-3,3) Graph of an equation: x and y is the set of all points that are solutions to an equation. Ex: y = 2x + 2
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Questions – t decide which 2 points lie on the graph of the line
2x + 4y = 8 A. (2,1) B. (1,2) 3x – y = 8 A. (2,2) B. (3,1)
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Questions – t decide which 2 points lie on the graph of the line
Y = 4x - 2 (-1,-6) B. (0,2) Y = 1/2x + 3 A. (-2,4) B. (0,3) Y = 4 (4,2) B. (2,4) X = -3 A. (-3,2) B.(3,-3)
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Find three ordered pairs that are solutions to the equations – t/st.
Y = 2x + 1 Y = 5 – 2x X = 4 Y = 3(2x + 4) Y = -1/2x - 4
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Function form Function form: solve for y. Ex: 3x + y = 7 2x – 3y = 3
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Function Form Y – x = 1 3x – 5y = -1 2x + 3y = 12 -5x + 2y = -4
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Graphing linear equations
Graph y = 2x Graph y = -x + 3
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Graph Linear Equation-st
Y = 3x – 4 Y = 1/2x + 1 Y = 2x - 3
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Horizontal/Vertical lines
Horizontal: line crosses y- axis. Vertical: line crosses x- axis Ex: x = 3, x = -2 y = 2, y = -5
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Vertical/Horizontal Graphs-st
Graph the following X = 2 Y = -4 X = -1
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Word Problem - C You earn $15 an hour mowing a lawn and $10 an hour washing windows. You want to make $400 in one week. Write an algebraic equation. Solve equation for y Sketch a graph of equation If you spent 14hrs mowing, how many hours do you have to wash windows to earn $400?
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Wrap up Questions/Comments Hw: Text pg. 214, #’s: evens
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