How to formulate the equation of

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The line is an algebraic line of the first order.

In the Cartesian coordinate system on the plane, the equation of the straight line is given by an equation of the first degree.

You will need

• Knowledge of analytical geometry. Basic knowledge of algebra.

Instructions

1

The equation of a straight line is given by the coordinates of two pointsOn the plane through which this line must pass. Let us form the ratio of the coordinates of these points. Let the first point have the coordinates (x1, y1), and the second (x2, y2), then the equation of the line will be written as follows: (x-x1) / (x2-x1) = (y-y1) (y2-y1).

2

We transform the resulting equation to a straight line and express y explicitly in terms of x. After this operation, the equation of the straight line will take the final form: y = (x-x1) / ((x2-x1) * (y2-y1)) + y1.