# How do you write y=7/2x in standard form?

Jul 7, 2015

$7 x - 2 y = 0$

#### 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 $A \ge 0$

$y = \frac{7}{2} x$
$\textcolor{w h i t e}{\text{XXXX}}$multiply both sides by 2
$2 y = 7 x$
$\textcolor{w h i t e}{\text{XXXX}}$subtract (2y) from both sides
$0 = 7 x - 2 y$
$\textcolor{w h i t e}{\text{XXXX}}$invert the equation
$7 x - 2 y = 0$

Jul 7, 2015

I talk about the standard form, but it is actually the slope-intercept form; therefore, my answer is wrong.

The function is already written in the standard form.

#### Explanation:

The standard form of a linear function is :

$y = m x + h$ or $f \left(x\right) = m x + h$

You have the function $y = \frac{7}{2} x$ or $y = \frac{7}{2} x + 0$, which is already written in the standard form and where $h$ can be omitted because it has the value of 0.

This is still valid though :

More generally, if you have a polynomial function, you will write it so that all the terms are sorted in descending order :

$f \left(x\right) = {a}_{n} {x}^{n} + {a}_{n - 1} {x}^{n - 1} + \cdots + {a}_{1} x + {a}_{0}$.