The standard form of an equation is the form where that equation has no fractions and is written in the form ax + by = c.
To get rid of the fractions in y = -5/2 x - 3, we need to multiply both sides by 2. That makes the equation become:
2y = -5x - 6
Now we need to get it into the form ax + by = c. We can do this by adding 5x to each side.
5x + 2y = -6 is our answer