# How do you write an equation of a line that goes through ((-6,-2) with slope -1/3?

##### 1 Answer

I think it's educational to solve this problem in a general form.

Given a *slope* *point* a line passes

A line with a *slope* *slope*, but we do not know a coefficient

Since we know a *point*

From this equation we derive a value of

So, the equation of a line looks like this:

In our particular case:

So, the equation of a line is

or

Here is the graph of this line:

graph{(-1/3)x-4 [-10, 10, -5, 5]}