# How do to you write in standard form of a line through point (-3,2) and m=1?

May 21, 2015

The equation in standard form is $x - y = - 5$.

Start by writing the equation in point-slope form.

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$ =

$\left(y - 2\right) = \left(1\right) \left(x - \left(- 3\right)\right)$ =

$y - 2 = x + 3$

Convert to slope-intercept form: $y = m x + b$. Solve for $y$.

$y = x + 5$

Convert to standard form: Ax+By=C .

$- x + y = 5$

Multiply both sides times -1.

$x - y = - 5$