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This vertical line is called the y-axis. y

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This horizontal line is called the x-axis. y x

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The x-axis and y-axis separate the coordinate plane into 4 parts. y x

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These parts are called Quadrants. y x

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Quadrant I y x Quadrant II Quadrant IIIQuadrant IV

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y x Each line has a number associated with it. Just like the dashes on a number line.

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y x-5-4-3-2012345 5 4 3 2 1 0 -2 -3 -4 -5

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y x origin This point in the middle of the x-axis and y-axis is called the origin.

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 There are many other points on the coordinate plane.

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 These points are described by ordered pairs.

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An ordered pair is a set of parenthesis with two numbers inside. The numbers are separated by a comma. ( 1, 3 )

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The first number is called the x- coordinate.

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( 1, 3 ) The second number is called the y- coordinate.

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( x, y )

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( 1, 3 ) Now, let’s graph this ordered pair on the coordinate plane.

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 ( 1, 3 )

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 Let’s graph (plot) more points.

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 ( 2, 5 )

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 Quadrant I

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (-3, 4 )

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 Quadrant II

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (4, -1)

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 Quadrant IV

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (-5, -3)

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 Quadrant III

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (-2, 0)

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 Not in any quadrant. This point is on the x-axis.

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (0, 4)

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 Not in any quadrant. This point is on the y-axis.

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (0, 0) (0,0) is the origin.

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 ABDCEF

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (5, 4) BDCEF

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (1, 2) DCEF

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (5, 4) (1, 2) D (-4, 3) EF

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (5, 4) (1, 2) (-3, -1) (-4, 3) EF

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (5, 4) (1, 2) (-3, -1) (-4, 3) (4, 0) F

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y x-5-4-3-212345 5 4 3 2 1 -2 -3 -4 -5 (5, 4) (1, 2) (-3, -1) (-4, 3) (4, 0) (2, -3)

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A scatter plot looks like a line graph without the lines. We just place the dots or in other words, we plot the points.

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Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score. Practice Time (hours) Dart Shooting Score 16 28 313 420 518 627 BOTTOM SIDE

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Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

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Practice Time (hours) Dart Shooting Score 16 28 313 420 518 627

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Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

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Practice Time (hours) Dart Shooting Score 16 28 313 420 518 627

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Construct a scatter plot to show the relationship between the hours spent practicing shooting darts and the dart shooting score.

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Explain the relationship shown in the scatter plot.

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The more time spent practicing, the higher the score.

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Complete problems # 1 – 20 for homework. Use Graph Paper for ALL graphs.

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Chapter 7 Section 1 The Cartesian Coordinate System and Linear Equations in Two Variables.

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