How do you write the equation -3x-6y =-24 in slope-intercept form?

Dec 13, 2016

$y = - \frac{1}{2} x + 4$

Explanation:

To transform this equation to slope-intercept form we must solve for $y$ while keeping the equation balanced:

$- 3 x + 3 x - 6 y = - 24 + 3 x$

$0 - 6 y = 3 x - 24$

$- 6 y = 3 x - 24$

$\frac{- 6 y}{-} 6 = \frac{3 x - 24}{- 6}$

$\frac{\cancel{- 6} y}{\cancel{- 6}} = \frac{3 x}{- 6} - \frac{24}{- 6}$

$y = - \frac{1}{2} x + 4$