How do you write 16x-3y=3 in slope intercept form

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.

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).