Answer
The $x-$ intercept is $\frac{2}{3}$.
The $y-$ intercept is $-\frac{1}{3}$.
Work Step by Step
The given linear equation is
$\Rightarrow 3x-6y=2$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow 3x-6(0)=2$
Simplify.
$\Rightarrow 3x-0=2$
$\Rightarrow 3x=2$
Divide each side by $3$.
$\Rightarrow \frac{3x}{3}=\frac{2}{3}$
Simplify.
$\Rightarrow x=\frac{2}{3}$
The $x-$ intercept is $\frac{2}{3}$.
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow 3(0)-6y=2$
Simplify.
$\Rightarrow 0-6y=2$
$\Rightarrow -6y=2$
Divide each side by $-6$.
$\Rightarrow \frac{-6x}{-6}=\frac{2}{-6}$
Simplify.
$\Rightarrow x=-\frac{1}{3}$
The $y-$ intercept is $-\frac{1}{3}$.
