# How do you find the intercepts for -x+y=3?

Nov 4, 2016

x-intercept: $\left(- 3\right)$
y-intercept: $3$

#### Explanation:

The x-intercept is the value of $x$ when $y = 0$

Replacing $y$ with $0$ in $- x + y = 3$ gives
$\textcolor{w h i t e}{\text{XXX}} - x + 0 = 3$

$\textcolor{w h i t e}{\text{XXX}} - x = 3$

$\textcolor{w h i t e}{\text{XXX}} x = - 3$

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The y-intercept is the value of $y$ when $x = 0$

Replacing $x$ with $0$ in $- x + y = 3$ gives
$\textcolor{w h i t e}{\text{XXX}} - 0 + y = 3$

$\textcolor{w h i t e}{\text{XXX}} y = 3$