Write the equation in standard form

Question

Write the equation in standard form

Y=1/4x-3

Answer 1

We can go ahead and rearrange this to get

 

-1/4x+y=-3

 

However, when you rearrange the equation, you have to make sure of a couple things. First, A and B should be integers, so you should multiply everything by 4. We get

 

-x+4y=-12

 

Finally, A should be a positive number, so we want to multiply everything by -1 to get a final answer of

 

x-4y=12

Answer 2

Standard form for  linear equation is Ax+By=C, so your first step is to put X, Y and their coefficients on the left and everything else on the right. All you have to do is subtract ¹/₄X from each side.

 

-¹/₄X+Y=-3

 

-¹/₄ is your A. Your B is 1, so you don't have to write it. -3 is your C.