# How do you write an equation of a line with slope -5, passes through (2, -3)?

Oct 28, 2016

$y = - 5 x + 7$

#### Explanation:

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

Substitute the y value into ${y}_{1}$, the slope's gradient into m, and the x value into ${x}_{1}$.
$y + 3 = - 5 \left(x - 2\right)$

Multiply out the bracket.
$y + 3 = - 5 x + 10$

Take away 3 from both sides.
$y = - 5 x + 7$