write y=1/6x+4 in standard form using integers

To write the equation y = 1/6x + 4 in standard form using integers, we need to eliminate the fraction by multiplying through by the common denominator, which is 6.

Multiply through by 6:
6y = (6)(1/6)x + (6)(4)

Simplify:
6y = x + 24

Rearrange the equation so that the x-term and the y-term are on the same side:
x - 6y = -24

So the equation y = 1/6x + 4 in standard form using integers is x - 6y = -24.