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How do you write $y = \frac{7}{2} x$ $y=7/2x$ in standard form?

2 Answers

Jul 7, 2015

$7 x - 2 y = 0$ $7x-2y = 0$

Explanation:

Standard form for a linear equation is
$XXXX$ $color(white)("XXXX")$ $A x + B y = C$ $Ax+By=C$ where $A, B, C epsilon ZZ$ and $A>=0$

$y = 7/2x$
$color(white)("XXXX")$ multiply both sides by 2
$2y=7x$
$color(white)("XXXX")$ subtract (2y) from both sides
$0 = 7x-2y$
$color(white)("XXXX")$ invert the equation
$7x-2y = 0$

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 :

$y = mx + h$ or $f(x) = mx + h$

You have the function $y=7/2x$ or $y = 7/2x + 0$ , 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 :

$f(x)=a_nx^n+a_{n-1}x^{n-1}+cdots+a_1x+a_0$ .

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