Question

How do you write an equation in standard form given point (2,-2) and slope 3?

Answer 1

`y-3x=-8`

Explanation:

Since we are given a point and slope, it's easier to write the equation in the point-slope form, `y-y_1=m(x-x_1)` and then rewrite it so that it is in the form `Ax+By=C`

Plug in for `y_1`, `x_1`, and `m`:

`y-(-2)=3(x-2)`

Distribute:

`y+2=3x-6`

Move `3x` over to the other side:

`y+2-3x=3x-6-3x`

`y-3x+2=-6`

Move `2` to the other side:

`y-3x+2-2=-6-2`

`y-3x=-8`

Our equation is now in standard form. Note that `A=1` in this case.