Question

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

Answer 1

`7x-2y = 0`

Explanation:

Standard form for a linear equation is
`color(white)("XXXX")` `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`

Answer 2

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`.