# Question #a45f8

Apr 27, 2017

$y = 2 - 4 x$

#### Explanation:

We need to find the slope of the line. To do this we use the following
$m = \setminus \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

Plugging in the points we are given we get
$m = \setminus \frac{- 6 + 2}{2 - 1} = - \frac{4}{1} = - 4$

We can use point-slope form to find the equation
$y - {y}_{0} = m \left(x - {x}_{0}\right)$
$y + 2 = - 4 \left(x - 1\right)$
$y + 2 = - 4 x + 4$
$y = 2 - 4 x$