The point slope form is written in the format:
Here’s an example:
In point slope format, this would be written as:
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
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.
The equation of a line in a slope intercept is:
Let’s continue solving by distributing in the parenthesis.
So now, our answer is the equation of a line in a slope intercept form which we dervied from the point slope form.