Which equation shows y=3/4x-5/2y in standard form

Looks as tho' there are several possible answers, which you unfortunately have not shared. But anyway ... We can rewrite y=3/4x-5/2y in standard form with confidence. Standard form here would be y = mx + b (slope-intercept form).

In y=3/4x-5/2y there are 2 terms in y. We need to combine them.

To do this, add (5/2) y to both sides. This results in:

y + (5/2) y = (3/4) x

Can you combine the coefficients of y into one fraction? 1 + (5/2) = ?

Result: (7/2) y = (3/4) x. Multiply both sides of this equation by (2/7) to solve the equation for y.

Note that there is another "standard form" for this equation; it looks like either Ax+By+C=0 or Ax+By=D. Can you put (7/2) y = (3/4) x into one of these forms?