Question

How do you write an equation in point-slope form for the given (−2, −7) m = 1 ?

Answer 1

`y-(-7)= (1)(x-(-2))`

Explanation:

For a point `(hatx,haty)` and a slope `m`,
the slope point form of the linear equation is
`color(white)("XXX")y-haty = m(x-hatx)`

For the given values, this is (by direct substitution)
`color(white)("XXX")y-(-7) = (1)(x-(-2))`

Note: It is tempting to simplify this as
`color(white)("XXX")y+7 = x+2`
or even
`color(white)("XXX")y = x-5`
but neither of those are (technically) in point-slope form.