Respuesta :

y=16/3 x -1

First, you minus both sides by 16x. This will get you -3y = 3 - 16x

Then, you divide both sides by -3. Hence on the right hand side you will get 3 - 16x over -3, which can be split into (-16x/-3) + (3/-3). By simplifying this you can get 16/3 x - 1.
DeanR

To get slope intercept form we just solve for y

16x - 3y = 3

subtract 16x from both sides

-3y = -16x + 3

divide both sides by -3

y = (16/3) x - 1

That's the slope intercept form.  We read off the slope as 16/3 and the y intercept at (0,-1).