# How do you find the x and y intercepts of 5x-6y=30?

Jun 8, 2017

$x = 6 , y = - 5$

#### Explanation:

$\text{to find the intercepts}$

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

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

$x = 0 \to 0 - 6 y = 30 \Rightarrow y = - 5 \leftarrow \textcolor{red}{\text{ y-intercept}}$

$y = 0 \to 5 x - 0 = 30 \Rightarrow x = 6 \leftarrow \textcolor{red}{\text{ x-intercept}}$
graph{5/6x-5 [-10, 10, -5, 5]}