When you use this: (0,2);m=4/5

Question

and write it in point-slope form, does it become (y-2)=4/5(x-0)?

Answer 1

yes

Answer 2

Is(y-2)=4/5(x-0) the most simplified answer? Can it be changed into(y-2)=4/5x?

Answer 3

no, you would expand and simplify ...

y - 2 = (4/5)x , times 5
5y - 10 = 4x

in general form: 4x - 5y + 10 = 0

slope-y intercept form: y = (4/5)x + 2

Answer 4

First question: no, the zero can be dropped
Second question: yes it can be changed into (y-2) = (4/5)*x and it can be also be re-written as
y = (4/5)*x + 2 [slope intercept form]

Hope that helps