# How do you find the slope and y intercept of  12x = 2y+1?

Dec 16, 2015

Convert the given equation into slope-intercept form to obtain:
$\textcolor{w h i t e}{\text{XXX}}$slope $= 6$
$\textcolor{w h i t e}{\text{XXX}}$y-intercept $= \left(- \frac{1}{2}\right)$

#### Explanation:

The general slope-intercept form is
$\textcolor{w h i t e}{\text{XXX}} y = m x + b$
with slope $m$ and y-intercept $b$

Given:
$\textcolor{w h i t e}{\text{XXX}} 12 x = 2 y + 1$

$\textcolor{w h i t e}{\text{XXX}} 2 y = 12 x - 1$

$\textcolor{w h i t e}{\text{XXX}} y = 6 x + \left(- \frac{1}{2}\right)$
which is in slope-intercept form with slope $6$ and y-intercept $\left(- \frac{1}{2}\right)$