# What are the intercepts of 2x-12y=4?

Jan 29, 2017

$\text{x-intercept "=2," y-intercept } = - \frac{1}{3}$

#### Explanation:

To find the intercepts of the line.

•" let x=0, in the equation to find the y-intercept"

•" let y=0, to find the x-intercept"

$x = 0 \to 0 - 12 y = 4 \to - 12 y = 4$

$\Rightarrow y = \frac{4}{- 12} = - \frac{1}{3} \leftarrow \textcolor{red}{\text{ y-intercept}}$

$y = 0 \to 2 x = 4 \Rightarrow x = 2 \leftarrow \textcolor{red}{\text{ x-intercept}}$
graph{1/6x-1/3 [-10, 10, -5, 5]}