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What are the intercepts of $-3x-7y=5$ ?

1 Answer

Dec 19, 2015

x-intercept: $(-5/3)color(white)("XXXXXX")$ y-intercept: $(-5/7)$

Explanation:

The x-intercept is the value of $x$ when $y=color(red)(0)$
$color(white)("XXX")-3x-7(color(red)(0))=5$
$color(white)("XXX")rarr x=5/(-3)$

The y-intercept is the value of $y$ when $x=color(blue)(0)$
$color(white)("XXX")-3(color(blue)(0))-7y=5$
$color(white)("XXX")rarr y=5/(-7)$

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