Question

how do i write y-5=1/3(x-4) in standard form

Answer 1

Assuming you meant to write: y -5 = (x- 4)/3
Multiply each side by 3 since fractions are ugly:
3y - 15 = x - 4
Subtract 3y from both sides to move variables to 1 side:
-15 = x - 3y - 4
Add 4 to both sides since we want to get rid of 4 from the variable only side.
-11 = x - 3y
Flip:
x - 3y = -11.