# The line in plan

## The line's equation determined by two points

Two distinct points A(x_{1}, y_{1}) and B(x_{2}, y_{2}) determine a line *d*, whose equation is:

The equation can be written as a determinant as follows:

If y_{2} = y_{1} and x_{2} ≠ x_{1} we have (d): y = y_{1}

If y_{2} ≠ y_{1} and x_{2} = x_{1} we have (d): x = x_{1 }

The line's equation can be written like this:

, and if we write , where *m* is called **slope of line** we obtain this form

We can also determine the line's equation by cuts (i.e. where the line meets the Axis, in the points **A(a, 0)** and **B(0, b)**).

**Keywords: **
analytic geometry, the right plan, the equation, vector math

### Search

### Forum

Here you can discuss about

**mathematic**, about

**algebra**,

**geometry**,

**trigonometry**.

It is not mandatory to be logged in on this forum but it is nice to have an account. You can ask about mathematics just with your name and your email.

This maths forum is one of the easiest forums to use it.

>> Go to Math Forum