# How do you write the equation of a line in point slope form into slope intercept form given y - 2/3 = -2(x - 1/4)?

May 10, 2015

Slope intercept general form is
$y = m x + b$
for a line with slope $m$ and y-intercept $b$

Given
$y - \frac{2}{3} = - 2 \left(x - \frac{1}{4}\right)$

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

$y = \left(- 2\right) x + 1 \frac{1}{6}$