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

Mar 12, 2016

Slope intercept form is $y = m x + b$, so the y has to be isolated.

#### Explanation:

$y + \frac{1}{4} = - 3 x - \frac{3}{4}$

$y = - 3 x - \frac{3}{4} - \frac{1}{4}$

$y = - 3 x - \frac{4}{4}$

$y = - 3 x - 1$

Practice exercises:

1. Convert to slope intercept form: $y + 3 = - \frac{1}{2} \left(x - \left(- \frac{4}{5}\right)\right)$

2. Find the slope intercept equation of the line that passes through $\left(5 , - 2\right) \mathmr{and} \left(4 , 6\right)$.

Good luck!