# How do you write y= - 3/4x + 5/4 in standard form?

Jul 10, 2015

$3 x + 4 y = 5$

#### Explanation:

Standard form for a linear equation is
$\textcolor{w h i t e}{\text{XXXX}}$$A x + B y = C$ where $A , B , C \epsilon \mathbb{Z}$ and $A \ge 0$

Multiplying $y = - \frac{3}{4} x + \frac{5}{4}$ by $4$ gives

$\textcolor{w h i t e}{\text{XXXX}}$$4 y = - 3 x + 5$

Adding $3 x$ to both sides gives
$\textcolor{w h i t e}{\text{XXXX}}$$3 x + 4 y = 5$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$which is standard form