# What are the intercepts of -y+3x=1?

Dec 3, 2015

Plug in $0$ for $x$ or $y$ to find that the $y$ intercept is at $\left(0 , - 1\right)$ and the $x$ intercept is at $\left(\frac{1}{3} , 0\right)$

#### Explanation:

The $x$ and $y$ intercepts occur when $y = 0$ and $x = 0$, respectively.

When $x = 0$ we have

$- y + 3 \left(0\right) = 1 \implies y = - 1$

Thus the $y$ intercept is at $\left(0 , - 1\right)$.

When $y = 0$ we have

$- \left(0\right) + 3 x = 1 \implies x = \frac{1}{3}$

Thus the $x$ intercept is at $\left(\frac{1}{3} , 0\right)$