Final answer:
The standard form of the equation y = 1/6x + 7 using integers is x - 6y = -42.
Step-by-step explanation:
To write the equation y = \frac{1}{6}x + 7 in standard form using integers, we first clear the fraction by multiplying every term by the denominator of the fraction, which is 6 in this case. This gives us:
6y = x + 42
We then move all terms involving variables to one side of the equation and the constant to the other side. This results in:
x - 6y = -42
Thus, the standard form of the given equation using integers is x - 6y = -42.