The Straight Line
In the previous chapter, we defined that the locus of a point is the path traced out by a moving point according to some geometrical law. We know that the locus of a point which moves in such a way that its distance from a fixed point is always constant.
2.1.1 Determination of the General Equation of a Straight Line
Suppose the point P(x, y) moves such that P(x, y), A(4, −1), and B(2, 3) form a straight line. Then,
(i.e.) 4x + 2y − 14 = 0 or 2x + y − 7 = 0, which is a first degree equation in x and y that represents a straight line.
The general equation of a straight line ...