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

To convert the equation from slope-intercept form (y = mx + b) to standard form (Ax + By = C), we need to eliminate fractions and ensure that A, B, and C are integers.

Given equation: y = 1/6x + 4

To eliminate fractions, we can multiply the entire equation by the denominator (6):

6y = 6(1/6)x + 6(4)
6y = x + 24

Now, let's rearrange the equation to have all the terms on one side:

x - 6y = -24

Finally, we can write it in standard form:

x - 6y = -24