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Section 1.1 The Distance and Midpoint Formulas. x axis y axis origin Rectangular or Cartesian Coordinate System.

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Presentation on theme: "Section 1.1 The Distance and Midpoint Formulas. x axis y axis origin Rectangular or Cartesian Coordinate System."— Presentation transcript:

1 Section 1.1 The Distance and Midpoint Formulas

2 x axis y axis origin Rectangular or Cartesian Coordinate System

3 Let's plot the point (6,4) (-3,-5) (0,7) Let's plot the point (-6,0) (6,4) (-6,0) Let's plot the point (-3,-5)Let's plot the point (0,7)

4 Quadrant I x > 0, y > 0 Quadrant II x 0 Quadrant III x < 0, y < 0 Quadrant IV x > 0, y < 0

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9 Horizontal or Vertical Segments

10 Find the distance d between the points (2, -4) and (-1, 3).

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16 A) B) C) D)

17 A) B) C) D)

18 Section 1.2 Graphs of Equations In Two Variables; Intercepts; Symmetry

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21 Determine if the following points are on the graph of the equation - 3x +y = 6 (b) (2, 0)(a) (0, 4) (c) (-1, 3)

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29 Find the x-intercept(s) and the y-intercept(s) of the graph of then graph by plotting points.

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32 If a graph is symmetric with respect to the x-axis and the point (3,2) is on the graph, what other point is also on the graph? (3,2)

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34 If a graph is symmetric with respect to the y-axis and the point (3,2) is on the graph, what other point is also on the graph?

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36 If a graph is symmetric with respect to the origin and the point (3,2) is on the graph, what other point is also on the graph?

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44 A) B) C) D)

45 Which of the following is the graph of the equation? A)B) C) D)

46 Section 1.3 Lines

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52 Find the slope of the line containing the points (-1, 4) and (2, -3). The average rate of change of y with respect to x is

53 Compute the slopes of the lines L 1, L 2, L 3, and L 4 containing the following pairs of points. Graph all four lines on the same set of coordinate axes.

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64 Find the equation of a line with slope 4 and containing the point (1, 2).

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68 Find an equation of the line L containing the points (-1, 4) and (3, -1). Graph the line L. (-1, 4) (3, -1)

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74 (0, -3) (2, 0) Find the slope m and y-intercept b of the equation 3x – 2y = 6. Graph the equation. 3 2

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77 Graph the linear equation 3x + 2y = 6 by finding its intercepts. The x-intercept is at the point (2, 0) The y-intercept is at the point (0, 3) (0, 3) (2, 0)

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85 Find the slope of a line perpendicular to a line with slope.

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87 A) B) C) D) Find the equation of a line that is:

88 A) B) C) D)

89 Section 1.4 Circles

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94 Write the standard form of the equation of the circle with radius 4 and center (2, -4).

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102 A) B) C) D)

103 Which of the following is the graph of the equation: A)B) C) D)


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