How do you find the x and y intercepts for 4x - 1/3y = -2?

Jun 11, 2018

$\text{x-intercept "=-1/2," y-intercept } = 6$

Explanation:

$\text{to find the intercepts, that is where the graph crosses}$
$\text{the x and y axes}$

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

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

$x = 0 \Rightarrow - \frac{1}{3} y = - 2 \Rightarrow y = 6 \leftarrow \textcolor{red}{\text{y-intercept}}$

$y = 0 \Rightarrow 4 x = - 2 \Rightarrow x = - \frac{1}{2} \leftarrow \textcolor{red}{\text{x-intercept}}$