2x=3y+1/2 I have to write this in standard form and slope intercept form

Step-by-step explanation:

2x = 3y + 1/2

standard : Ax + By = C

2x = 3y + 1/2 ... multiply everything by 2 to get rid of the fractions

4x = 6y + 1 ... subtract 6y from both sides

4x - 6y = 1 <==

slope intercept : y = mx + b

2x = 3y + 1/2 ... subtract 1/2 from both sides

2x - 1/2 = 3y ... divide everything by 3

2/3x - 1/6 = y ... rearrange

y = 2/3x - 1/6 <===