Analytic Geometry

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13. a: 2 + y 2 - 8 a; = 0, 17. xy = 4, y 2 -8x-2 = 0. f + x 2 = 9.
10.
a-2 _ j,2 + 36 _ o, y 2 - 5a; -32 = 0.
11.
«/ 2 = 2 aa;, a; 2 = ay.
12.
a; 2 + 6 j/ 2 = 20, a;?/ = 4.
CHAPTER II THE STRAIGHT LINE v 28. Equations of the Straight Line. — Several properties of the straight line, such as its determination either by two points or by a point and a direction, lead to relations between the coordinates of its tracing point that can be expressed in the form of an equation. There are several forms o
...f the straight line equation, but for a par- ticular line each one may in general be reduced to any of the others.
29. The Point Slope and Two-Point Forms. — Let the line be fixed by a point and a direction. Let the point be P, (aj 1? y^) and let the direction be given by the slope m = tan a. Let the tracing point be P(x, y).
By the slope formula, r y/r^v) S^i^vVi) (ojb) S\ a S X 01 v- yi = m(x - xi). (7) This is the point slope form of the straight line equation.
It is used in writing the equation of a line when one point and the slope are known.


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