# How do you change y - 2/3 = -2(x - 1/4) into slope intercept form?

Feb 26, 2017

Slope-intercept form is $y = m x + c$

$y = - 2 x + 1 \frac{1}{6} \text{ or } y = - 2 x + \frac{7}{6}$

#### Explanation:

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

Follow the usual process of simplifying - start by getting rid of the brackets.

$y - \frac{2}{3} = - 2 x + \frac{1}{2}$

Slope-intercept form is $\text{ "y = mx +c" }$ so isolate the $y$-term

$y = - 2 x + \frac{1}{2} + \frac{2}{3} \text{ } \leftarrow$ add the fractions

$y = - 2 x + \frac{3 + 4}{6}$

$y = - 2 x + \frac{7}{6} \text{ or } y = - 2 x + 1 \frac{1}{6}$