# What are the intercepts of the line 8x + 6y = 12?

Sep 25, 2015

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

y-intercept is $2$

#### Explanation:

The x-intercept is the value of $x$ when $y = 0$
$\textcolor{w h i t e}{\text{XXX}} 8 x + 6 \left(0\right) = 12$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow 8 x = 12$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow x = \frac{12}{8} = \frac{3}{2}$

The y-intercept is the value of $y$ when $x = 0$
$\textcolor{w h i t e}{\text{XXX}} 8 \left(0\right) + 6 y = 12$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow 6 y = 12$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow y = \frac{12}{6} = 2$