# How do you write the equation of the line with slope of -5 and passes through the point (2, -4)?

Mar 29, 2017

$y = - 5 x + 6$

#### Explanation:

$y = m x + c$ (where m: gradient of line; c: constant)

Now that we have known variables and gradient, we can find $c$:
$- 4 = - 5 \cdot \left(2\right) + c$
$c = - 4 + 10 = 6$

Hence, the equation of this line is:
$y = - 5 x + 6$