The equation of a line in point slope form = [tex]y - y_1 = m(x - x_1)[/tex]
To put [tex]y - y_1 = m(x - x_1)[/tex] 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.
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 2 = 3(x - 2)[/tex]
[tex]y - 2 = 3x - 6[/tex]
[tex]y = 3x - 6 + 2[/tex]
[tex]y = 3x - 8[/tex]
Change the y to f(x)
[tex]f(x) = 3x - 8[/tex] <-----Function notation.
