# Question #b58f5

Dec 4, 2017

$y - 2 = - \setminus \frac{1}{2} \left(x - 3\right)$

#### Explanation:

First let’s find the slope using the formula:

$m = \setminus \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$\setminus \implies m = \setminus \frac{6 - 2}{- 5 - 3} \setminus \quad \setminus \implies \setminus \quad m = - \setminus \frac{1}{2}$

Now we can express it in point slope form:

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

$\setminus \implies y - 2 = - \setminus \frac{1}{2} \left(x - 3\right)$