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

Question

6820 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-21T22:45:37

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).

$x - 2 y = - 6$ $x - 2y = -6$

$- 2 y = - x - 6$ $-2y = -x - 6$

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

$2 y = x + 6$ $2y = x + 6$

$y = \frac{x + 6}{2}$ $y = (x+6)/2$

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

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

So, the y-intercept is 3.

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