Rewrite the linear function 1/2x-3y=16 in slope-intercept form.

Slope intercept form is y=mx+b

so to rewrite it in that, all you do is solve for y

1/2x - 3y = 16

subtract 1/2x from both sides.

-3y = 16 - 1/2x

divide both sides by - 3.

y = (16 - 1/2x) / - 3

y = - 16/3 + 1/6x

rearrange the terms so its in y=mx+b

y = 1/6x - 16/3