Question

How do you write the equation of the line in the form AX+BY=C if m = 1, P (2, -4)?

Answer 1

`1x+(-1)y=6`

Explanation:

Given a slope of `m=1` and a point `(hatx,haty)=(2,-4)`
we can substitute these values into the general point-slope form:
`color(white)("XXX")(y-haty) = m(x-hatx)`
to get
`color(white)("XXX")(y+4)=1(x-2)`
This can be re-arranged fairly easily to form:
`color(white)("XXX")1x+(-1)y=6`
which is the requested form