(3)/(10) x -y = -3 what is this in standard form

Question

`(3)/(10)` x -y = -3 what is this in standard form

Answer 1

There are a few different standard forms for a line, let's assume we're after

`ax + by = c`

Let's write

`\frac 3{10} x - y = -3`

That's already in standard form and we could stop. Or we could multiply by 10.

`3 x - 10 y = -30`

We can bring the constant to the same side; some people prefer that as standard form:

`3x - 10 y + 30 = 0`

There's also slope intercept form,

`y = \frac 3 {10} x + 3`

Plenty more forms where these comes from.