# How do you write an equation in standard form if m=9 and it's passing through points (-4,5)?

May 6, 2015

Start by expressing the equation in point-slope form; then convert to standard form.

Point-slope form
$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$
$\left(y - 5\right) = 9 \left(x - \left(- 4\right)\right)$

Standard form
$A x + B y = C$
$\left(y - 5\right) = 9 \left(x - \left(- 4\right)\right)$
$\rightarrow y - 5 = 9 x + 36$
$\rightarrow \left(- 9\right) x + \left(1\right) y = 41$
or
$9 x - y = - 41$
$\text{ since some definitions of standard form require the coefficent of "x" to be a non-negative integer}$