Question

what is y=-(1/4)x

Answer 1

direct variation ?

a line ?

Answer 2

I have to put it in standard form

Answer 3

standard form means the letters are on the left side, in alphabetical order
I would add +1/4 x to both sides
\[ y=- \frac{1}{4}x \\
\frac{1}{4}x + y = \frac{1}{4}x - \frac{1}{4}x \\
\frac{1}{4}x + y = 0
\]
Also, they may want only positive integers (whole numbers) in front of the letters.
we can get rid of the 1/4 by multiplying the equation (both sides and *all* terms by 4)
\[ 4 \cdot \frac{1}{4}x + 4 \cdot y =4 \cdot 0\]
simplify to get
\[ x + 4y = 0 \]