# How do you write a equation in point -slope form for the line with the given slope and through the given point (-2,-6) and has slope 8/3?

##### 1 Answer

To see if a point

Now we're watching this problem on the other side: given a point, we want to find the equation of a line which passes through a given point.

Let's recall that, given a point, you have infinite lines passing through that point, one for each possible slope. So, if the slope is also fixed, the solution becomes unique.

The trick is to use the generic equation

Then, choosing

In particular, substituing your values gives the solution