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Analytic Geometry - Whitman College

1 Analytic GeometryMuch of the mathematics in this chapter will be review for you. However, the exampleswill be oriented toward applications and so will take some the (x, y) coordinate system we normally write thex-axis horizontally, with positivenumbers to the right of the origin, and they-axis vertically, with positive numbers abovethe origin. That is, unless stated otherwise, we take rightward to be the positivex-direction and upward to be the positivey-direction. In a purely mathematical situation,we normally choose the same scale for thex- andy-axes. For example, the line joining theorigin to the point (a, a) makes an angle of 45 with thex-axis (and also with they-axis).

line has a small angle of inclination. If m is negative, the line goes into the 4th quadrant as you go from left to right. If m is a large negative number (large in absolute value), then the line points steeply downward; while if m is negative but near zero, then it points only a little downward. These four possibilities are illustrated in ...

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