# How do you write an equation in slope intercept form given y - 2/3 = -2(x - 1/4)?

Jul 7, 2016

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

#### Explanation:

The eqn. of a line in Slope-Intercept Form is written as $: y = m x + c .$

So, let us simplify the given eqn. and mould it the desired form as under :-

Given $y - \frac{2}{3} = - 2 \left(x - \frac{1}{4}\right) \Rightarrow y = \frac{2}{3} - 2 \left(x - \frac{1}{4}\right) = \frac{2}{3} + \frac{1}{2} - 2 x = - 2 x + \frac{7}{6} ,$ i.e.,
The desired Form of eqn. is $: y = - 2 x + \frac{7}{6.}$