Question

What is an equation of the line in point-slope form? How can the point-slope form be written in function notation?

Answer 1

The equation of a line in point slope form =
`y - y_1 = m(x - x_1)`

To put
`y - y_1 = m(x - x_1)` into function notation, we need to get y by its self.
Lets say we had a point (2,2) and a slope of 3. Ok, now that we have our point and slope, lets turn point slope form into function notation.


`y - y_1 = m(x - x_1)`

`y - 2 = 3(x - 2)`

`y - 2 = 3x - 6`

`y = 3x - 6 + 2`

`y = 3x - 8`
Change the y to f(x)

`f(x) = 3x - 8` <-----Function notation.