This video explains how to find the equation of a line, given a point and the slope of the line.

There are two ways of solving this.

One way is using the slope-intercept formula, y = mx + b

And the other way is by using the point-slope formula,

## Video-Lesson Transcript

Let’s go over finding the equation of a line, given a point and the slope.

We’re going to use the slope intercept formula:

For example:

,

We’re going to solve this in two different ways.

First is the point-slope formula which is

Now, let’s substitute

Now, let’s manipulate this to get the slope intercept form

Now, let’s isolate by adding on both sides.

Or the second way to solve this is to do the slope intercept form directly.

Let’s solve for by substituting the values of and .

Then isolate by adding on both sides

Now let’s write our slope intercept form

which is the same as our first answer.