<p>hey guys,
please help me with this question :
<a href="https://fbcdn-sphotos-f-a.akamaihd.net/hphotos-ak-xap1/t1.0-9/10440739_10203068377862412_2463276749177324524_n.jpg">https://fbcdn-sphotos-f-a.akamaihd.net/hphotos-ak-xap1/t1.0-9/10440739_10203068377862412_2463276749177324524_n.jpg</a>
Thanks :)</p>
<p>Both of them are basically lines. I’d rewrite the equations in slope-intercept form first:</p>
<p>y = (2/3)x - 2
y = -cx + 1</p>
<p>The question’s basically asking for a value of c that makes it impossible for these lines to intersect (i.e. for them to not share the same point ever- or for no “ordered pair” (point) to satisfy both equations (lines)).</p>
<p>The only sort of lines that don’t intersect <em>ever</em>… are parallel lines. And if they’re parallel, the slope has to be equal.</p>
<p>So -c would be 2/3. Therefore c is -(2/3)… and thus the answer is B.</p>
<p>Got it!! many thanks :)</p>
<p>No problem! Looks like CollegeBoard loves disguising geometry questions as algebra.</p>