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

1 Answer

Nov 4, 2016

x-intercept: $(-3)$
y-intercept: $3$

Explanation:

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

Replacing $y$ with $0$ in $-x+y=3$ gives
$color(white)("XXX")-x+0=3$

$color(white)("XXX")-x=3$

$color(white)("XXX")x=-3$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

Replacing $x$ with $0$ in $-x+y=3$ gives
$color(white)("XXX")-0+y=3$

$color(white)("XXX")y=3$

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