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

Sep 6, 2015

$y - \left(- 7\right) = \left(1\right) \left(x - \left(- 2\right)\right)$

#### Explanation:

For a point $\left(\hat{x} , \hat{y}\right)$ and a slope $m$,
the slope point form of the linear equation is
$\textcolor{w h i t e}{\text{XXX}} y - \hat{y} = m \left(x - \hat{x}\right)$

For the given values, this is (by direct substitution)
$\textcolor{w h i t e}{\text{XXX}} y - \left(- 7\right) = \left(1\right) \left(x - \left(- 2\right)\right)$

Note: It is tempting to simplify this as
$\textcolor{w h i t e}{\text{XXX}} y + 7 = x + 2$
or even
$\textcolor{w h i t e}{\text{XXX}} y = x - 5$
but neither of those are (technically) in point-slope form.