Okay, standard form is Ax + By = C, where A is non-negative. This equation is in slope-intercept form (y = mx +b)
To get this equation from slope-intercept from to standard form, we must first get rid of the fraction -2/3. To do that, multiply each term in the equation by -3:
(y = -2/3x - 1)-3
-3y = 6/3x +3 (distribute the -3 to all terms)
-3y = 2x + 3 (simplify 6/3)
-2x - 3y = 3 (subtract 2x from both sides to get x and y terms on the same side)
2x + 3y = -3 (divide the entire equation by -1)
That's my final answer. Hope this helps.