Question

How can you use the point-slope form of a line when only given two points?

Answer 1

If we already have two points of the line, we can find its slope (
`m`), its intersection with the y-axis (
`b`), hence its point-slope form equation in the following way:

Let's call Point 1:
`(x_(1),y_(1))` and Point 2:
`(x_(2),y_(2))`

The Slope equation is:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

Now, the equation of the line in its point-slope form is:

`y=mx+b`

And we can find the intersection with the y-axis (
`b`) by evaluating the equation with any of the two given points and then isolating
`b`.