# How do you write an equation of the line with slope=-3 passing thru (2,6)?

Jul 12, 2015

I found: $y = - 3 x + 12$

#### Explanation:

You can use the relationship:
$y - {y}_{0} = m \left(x - {x}_{0}\right)$

Where $m$ is the slope and ${x}_{0} , {y}_{0}$ the coordinates of your point.
$y - 6 = - 3 \left(x - 2\right)$
$y = - 3 x + 6 + 6$
$y = - 3 x + 12$
$3 x + y = 12$