The straight line can be constructed on two points. Coordinates of these points "are hidden" in the straight line equation. The equation will tell all secrets about the line: as it is turned in what party of the coordinate plane is located, etc.
Instruction
1. It is required to build straight line line in the plane more often. Each point will have two coordinates: x, y. Pay attention to the straight line equation, it submits to a general view: y=k*x ±b where k, b are free numbers, and y, x – those coordinates of all points of a straight line. From the equation of a general view clear that for finding of coordinate of y it is necessary to know coordinate x. The most interesting that the value of coordinate x can be chosen any: from all infinity of the known numbers. Further substitute also in the equation and, having solved it, find at. Example. Let the equation be given: at =4kh-3. Think up two any values for coordinates of two points. For example, h1 = 1, h2 = 5. Substitute these values in the equations for finding of coordinates at. u1 = 4*1 – 3 = 1. u2 = 4*5 – 3 = 17. Two points And yes In, with coordinates turned out And (1; 1) and In (5; 17).
2. It is necessary to construct the found points in a coordinate axis, to connect them and to see that straight line which was described by the equation. For creation of a straight line it is necessary to work in the Cartesian system of coordinates. Draw axes H and U. In a point of intersection put zero value. Apply numbers on axes.
3. In the constructed system note two points found in the 1st step. The principle of exposure of the specified points: the point And has coordinates h1 = 1, u1 = 1; on axis X choose number 1, on axis U – number 1. In this point there is also A. Tochk's point In is set by values h2 = 5, u2 = 17. By analogy find a point In on graphics. Connect And yes In that the straight line turned out.