The point slope form is written in the format:

Here’s an example:

In point slope format, this would be written as:

## Video-Lesson Transcript

Let’s go over point slope form.

The actual equation is:

where is the slope of the line, and are the coordinate of the line.

For example, we have:

Let’s solve by substituting the values

That’s it.

Let’s have another one.

Let’s discuss this further.

We already know the formula for slope is:

Let’s say we write this as fraction

Now, let’s cross multiply. It will be

Then instead of writing and , let’s just write them as and .

Now, our equation will look like this

This is already the point-slope form, so let’s just rewrite this as

So the point-slope form is just derived from the slope formula.

From the point-slope form, we can find the equation of a line in a slope intercept.

For example:

The equation of a line in a slope intercept is:

Let’s continue solving by distributing in the parenthesis.

Then isolate

So now, our answer is the equation of a line in a slope intercept form which we dervied from the point slope form.

## Caddell Prep offers online test prep, web-based math assignments, and in-person tutoring and test prep.