# How do you write an equation of a line that is parallel to #y+3x=7# and passes through point #(7,2)#?

##### 1 Answer

I would use first your equation to find the SLOPE of your line. Basically the slope is a number that tells you what the inclination of your line is.

So, to find the parallel to your line you need a line with the same inclination...the same slope:

Your line:

Now the difficult bit...

The slope represents the inclination of your line and basically tells you how

For example, a big slope means that at every fixed change in

Have a look at this picture:

slope

To find your slope you simply take the change in

In your case:

Together with the coordinates of your point you can write:

Graphically:

hope it helps