# How do you write the equation y = —1/4x + 3 in standard form?

Oct 31, 2015

$x + 4 y = 12$

#### Explanation:

$y = - \frac{1}{4} x + 3$

First, get rid of the fraction by multiplying everything by the denominator, which in this case, is $4$.

$\left(4\right) \left(y\right) = - \frac{1}{4} x \left(4\right) + 3 \left(4\right)$

$4 y = - x + 12$

Since the standard form is $A x + B y = C$, move $x$ to the same side of the equal sign as the $y$.

And you get $4 y + x = 12$