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

Apr 8, 2016

$y = 3 x - 7$

#### Explanation:

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

is the standard equation for a line in point slope form.

We are given the gradient, $m = 3$, and the point $\left(2 , - 1\right)$, which we can plug in and solve

$y - {y}_{1} = m \left(x - {x}_{1}\right)$
$y - \left(- 1\right) = 3 \left(x - 2\right)$
$y + 1 = 3 x - 6$
$y = 3 x - 7$