Question

How do you write the equation `y-6=1.3(x+7)` in standard form?

Answer 1

`13x-10y=-151`

Explanation:

The equation of a line in `color(blue)"standard form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))`
where A is a positive integer and B, C are integers.

distribute the bracket and rearrange into this form.

`y-6=1.3x+9.1`

`rArry=1.3x+15.1`

We now require to multiply through by 10 as we require the coefficients to be integers.

`rArr10y=13x+151`

subtract 10y from both sides.

`0=13x-10y+151`

subtract 151 from both sides.

`-151=13x-10y`

`rArr13x-10y=-151larrcolor(red)" in standard form"`