Start with the point-slope form: [tex]y-y_1 = m(x-x_1)[/tex].
Then you substitue in the slope and coordinates from the point:
[tex]y-5 = 2(x-(-7))[/tex]
You don't do a lot of clean up to the form, with the exception of turning "minus negative 7" into "plus 7".
[tex]y-5 = 2(x+7)[/tex]
Thar be yer answer!
