The root of any equation is always some points on the numerical axis. If there is one number in the equation, then it will be located on the same axis.
If two unknowns, then this point will be located in the plane, on two perpendicular axes.
If three - then in space, on three axes.
The equation of a straight line is solved, as a rule, in the Cartesian coordinate system, where two axes, and is reduced to the construction of two points and their connection to obtain a straight line.
You will need
- Ruler, pencil.
The general form of the equation of the straight line is y = kx + b. All the coefficients can have different signs, this does not complicate the equation, you just have to be able to operate them in the calculation.
Example: given the equation y = 3x + 2. In this equation: k = 3, b = 2.
For the construction of a straight line, it is necessary to find the coordinates "x" - "yoke" of two points (and more).
Coordinate "x" is chosen arbitrarily (betterTake a smaller number so as not to build a large coordinate system). Let x1 = 0, x2 = 1. The coordinate "y" is found from the equation into which the invented value is substituted for x, and is solved as a simple example. Y1 = 3 * 0 + 2 = 2, y2 = 3 * 1 + 2 = 5
Two points with coordinates (0-2) - the first point, (1-5) - the second point were obtained.
Next, two mutually perpendicular axes X andY, intersecting at the point "zero". They are marked with the values found, respectively, that is, the "first" is coordinated with "the first game", and "the second one" - with "the second game".
The obtained points are connected by means of a ruler and a pencil. This line is the desired line.