# What is the y-intercept of x - 2y = -6?

May 21, 2015

To find the y-intercept, I need to put this equation into slope-intercept form (well, I don't need to, but it makes it a lot easier).

$x - 2 y = - 6$

$- 2 y = - x - 6$

(now I can multiply both sides by -1 to get a fully positive equation)

$2 y = x + 6$

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

$y = \frac{1}{2} x + \frac{6}{2}$

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

So, the y-intercept is 3.