# What are the intercepts for 3x – y = –2?

Oct 1, 2015

x-intercept: $- \frac{2}{3}$

y-intercept: $2$

#### Explanation:

The x-intercept is the value of $x$ when $y = 0$ (i.e. where the equation crosses the X-axis, since $y = 0$ for all point along the X-axis)
$\textcolor{w h i t e}{\text{XXXXX}} 3 x - \left(0\right) = - 2$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow x = - \frac{2}{3}$

Similarly, the y-intercept is the value of $y$ when $x = 0$
$\textcolor{w h i t e}{\text{XXXXX}} 3 \left(0\right) - y = - 2$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow y = 2$