# What is the equation of the line with slope  m= -5/6  that passes through  (-1/12,5/3) ?

Apr 26, 2018

$y - \frac{5}{3} = - \frac{5}{6} \left(x + \frac{1}{12}\right)$

#### Explanation:

We can use the point-slope form for a linear equation:

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

where:

$m$ is the slope, $- \frac{5}{6}$, and $\left({x}_{1} , {y}_{1}\right)$ is the point $\left(- \frac{1}{12} , \frac{5}{3}\right)$.

Plug in the known values.

$y - \frac{5}{3} = - \frac{5}{6} \left(x - \left(- \frac{1}{12}\right)\right)$

Simplify.

$y - \frac{5}{3} = - \frac{5}{6} \left(x + \frac{1}{12}\right)$

If you wish to convert this to slope-intercept form, solve for $y$.