Question

Write the equation y=-1/2x+3 in standard form. how do I do this?

Answer 1

Hello. 

The standard form is Ax + By = C, where A, B, and C are real numbers, and A is a positive integer. 

Here are the steps:

(2)y = (-1/2x + 3)(2) -- you want to get rid of the fraction
2y = -x + 6  -- add x to both sides
+ x   + x
x + 2y = 6 -- this follows standard form

x + 2y = 6 can be simplified even further to: x/2 + y = 3.
Both these equations are correct graph-wise,  

I would use x/2 + y = 3 rather than x + 2y = 6.

Hopefully this makes sense. :)

Answer 2

Standard form is ax + by = c.  Begin our transformation by multiplying both sides by 2 to get rid of the fraction.  Notice that ax + by = c does not allow for fractions.  Doing that multiplication gives us 2y=-x + 3.  Now move the x over by the y by addition.  x + 2y = 3.  And there you go!