# What is the y-intercept for the linear equation 3x - 2y = 18?

##### 1 Answer
Jun 29, 2015

The y-intercept of $3 x - 2 y = 18$ is $\left(- 9\right)$

#### Explanation:

The y-intercept is the value of y where the line of the equation crosses the y-axis.
For all point on the y-axis, $x = 0$
So the y-intercept can be determined by evaluating the equation for y with $x$ set to $0$.

$3 x - 2 y = 18$
$\textcolor{w h i t e}{\text{XXXX}}$becomes (with $x = 0$)
$3 \left(0\right) - 2 y = 18$

$- 2 y = 18$

$y = - 9$