# How do you write y-2/3 = -2( x-1/4 ) in standard form?

Sep 18, 2015

$y = - 2 x + \frac{7}{6}$

#### Explanation:

$y - \frac{2}{3} = - 2 \left(x - \frac{1}{4}\right)$
so, after opening the parentheses, we get
$y - \frac{2}{3} = - 2 x + \frac{2}{4}$
which simplifies to
$y - \frac{2}{3} = - 2 x + \frac{1}{2}$
and moving $- \frac{2}{3}$ on the other side of the equality
$y = - 2 x + \frac{1}{2} + \frac{2}{3}$
then performing the fraction calculation
$y = - 2 x + \frac{3}{6} + \frac{4}{6}$
which gives
$y = - 2 x + \frac{7}{6}$