# How do you graph the line given (2,-1), m = -1/3?

Jun 14, 2017

$y = - \frac{1}{3} x - \frac{1}{3}$

#### Explanation:

The equation of a line can be expressed as

$y = m x + b$

You are given

$y = - 1$

$x = 2$

$m = - \frac{1}{3}$

Plugging each of these into the equation of a line gives us

$- 1 = - \frac{1}{3} \left(2\right) + b$

$- 1 + \frac{2}{3} = b$

$b = - \frac{1}{3}$

Finally, rewrite the linear equation with slope, $m$, and slope intercept $b$.

$y = - \frac{1}{3} x - \frac{1}{3}$