A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point?

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asked May 17, 2023 61.5k views

14 votes

A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point?

Mathematics
high-school

Mintu asked

by Mintu

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1 Answer

5 votes

$y = \cfrac{2}{3}x~~ - ~~6~\hspace{10em} (\stackrel{x}{?}~~,~~\stackrel{y}{0}) \\\\\\ 0=\cfrac{2}{3}x~~ - ~~6\implies 6=\cfrac{2x}{3}\implies 18=2x\implies \cfrac{18}{2}=x\implies 9=x$