What is y=1/2x+4 in standard form?

Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

2y = 2[ (1/2)x + 4 ]

2y = 2*(1/2)x + 2*4

2y = x + 8

Then move the x term over to the left side

2y = x+8

2y-x = 8

-x+2y = 8

Optionally we can multiply both sides by -1

-x+2y = 8

-1*(-x+2y) = -1*8

x-2y = -8

This is in standard form Ax+By = C with A = 1, B = -2, C = -8

The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.