# What is the equation of the line with slope  m= 12/11  that passes through  (-2,11) ?

Apr 9, 2018

$y = \frac{12}{11} x + \frac{145}{11}$

#### Explanation:

The equation of a line in slope-intercept form is $y = m x + b$.

We are given $x$, $y$, and $m$.

So, plug these values in:
$11 = \frac{12}{11} \cdot - 2 + b$
$11 = - \frac{24}{11} + b$
$11 + \frac{24}{11} = b$
$\frac{121}{11} + \frac{24}{11} = b$
$\frac{145}{11} = b$
This is how I would leave it but feel free to turn it into a mixed fraction or decimal.

So, our equation is $y = \left(\frac{12}{11}\right) x + \frac{145}{11}$