# How do you write an equation in point slope form given slope -2, (3, 1)?

Jun 27, 2016

point-slope form $\left(y - 1\right) = - 2 \left(x - 3\right)$

$y - 1 = - 2 x + 6$

slope-intercept form $y = - 2 x + 7$

#### Explanation:

We will use the point slope form to get the equation of the line.

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

Where m is the slope

$m = - 2$
${x}_{1} = 3$
${y}_{1} = 1$

$\left(y - 1\right) = - 2 \left(x - 3\right)$

$y - 1 = - 2 x + 6$

$y = - 2 x + 7$