Question

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?

Answer 1

`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`