# How do you find the x and y intercepts for y = -6x + 6?

Dec 15, 2015

$x$ intercept is $1$ and $y$ intercept is $6$.

#### Explanation:

For $x = 0$,
$\textcolor{w h i t e}{\times} y = - 6 \times \textcolor{red}{0} + 6$
$\textcolor{w h i t e}{\times x} = 6$
Therefore $y$ intercept is $6$.

For $y = 0$,
$\textcolor{w h i t e}{\times} - 6 x + 6 = \textcolor{red}{0}$
$\implies x = 1$
Therefore $x$ intercept is $1$.
graph{-6x+6 [-20, 20, -10, 10]}