how do turn a regular equation to slope intercept form

I assume that you have standard form and want to go to slope-intercept....we really just want to get y by itself

Example

4x - 7y + 3 = 0 add 7y to both sides

4x + 3 = 7y divide through by 7

(4/7)x + 3/7 = y and this is slope-intercept form