# How do you write an equation in point slope form given (3.2, -1.4), (2.4, 1.8)?

Apr 27, 2017

$y = 11.4 - 4 x$

#### Explanation:

First, we need to know the slope of the line. The slope is rise over run or $m = \setminus \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

Plugging in the given values we get
$m = \setminus \frac{1.8 + 1.4}{2.4 - 3.2} = \setminus \frac{3.2}{- 0.8} = - 4$

The formula for point-slope form is
$y - {y}_{0} = m \left(x - {x}_{0}\right)$
We will use the first point in the equation to get
$y + 1.4 = - 4 \left(x - 3.2\right)$
$y + 1.4 = - 4 x + 12.8$

Simplify
$y = 11.4 - 4 x$