# How do you write y = -3/4x - 1/2 in standard form?

May 28, 2015

The standard form of a linear equation is (normally)
$A x + B y = C$ with $A \ge 0 \mathmr{and} A \epsilon \mathbb{Z}$

Given $y = - \frac{3}{4} x - \frac{1}{2}$

Multiply by $4$ to express in all integers ($e s \pi l o n \mathbb{Z}$)
$4 y = - 3 x - 2$

Add $3 x$ to both sides
$3 x + 4 y = - 2$ (standard form)