What is the Y intercept of 6x-4y=12?

Oct 7, 2015

$y$ intercept is $- 3$

Explanation:

$6 x - 4 y = 12$

Method - 1

At $x = 0$;
$6 \left(0\right) - 4 y = 12$
$- 4 y = 12$
$y = \frac{12}{- 4} = - 3$

Method - 2

Solve the equation for $y$ to have the equation in the intercept form
$- 4 y = 12 - 6 x$

Divide both sides by $- 4$
$y = \frac{12 - 6 x}{- 4}$
$y = \frac{12}{- 4} - \frac{6 x}{- 4}$
$y = - 3 + \frac{3}{2} x$