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

1 Answer
Sep 6, 2015

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.