Point slope 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.