Point slope 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.

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