# What are the intercepts of -3x-2y=8?

Nov 20, 2015

y-intercept: $\left(- 4\right)$
x-intercept: $\left(- \frac{8}{3}\right)$
The y-intercept is the value of $y$ when $x = 0$
$\textcolor{w h i t e}{\text{XXX}} - 3 \left(0\right) - 2 y = 8 \Rightarrow y = - 4$
The x-intercept is the value of $x$ when $y = 0$
$\textcolor{w h i t e}{\text{XXX}} - 3 x - 2 \left(0\right) = 8 \Rightarrow x = - \frac{8}{3}$