# What is the y-intercept for this linear equation 1/2x - 2/3y = -6?

Jun 27, 2015

The y-intercept is $9$

#### Explanation:

The y-intercept (the value where the equation's line crosses the y-axis) is the value of $y$ when $x = 0$.

$\frac{1}{2} x - \frac{2}{3} y = - 6$

becomes
$\textcolor{w h i t e}{\text{XXXX}}$$- \frac{2}{3} y = - 6$
$\Rightarrow$
$\textcolor{w h i t e}{\text{XXXX}}$$y = 9$