<p>The coordinates of point A in the figure above are (p,r), where |p| > |r|. Which of the following could be the slope of line AB?
A. -2
B. -1/2
C. 0
D. 2/3
E. 5/2</p>
<p>Obviously its a negative slope, ruling out C D E. Which would leave me with 50/50 chance, but I want to know HOW to get it (I assumed A, but I couldn't give a certain reason as to WHY).</p>
<p>Ok you dont need to know points of B. you just need to know that:</p>
<p>1)the line crosses the origin.
2)the rise (r) is less then |p|</p>
<p>You know that rise will be less then run. So a fraction with the numerator less than the denominator will always be less than 1. And, of course, the slope is negative so the answer is B.</p>
<p>I don’t mean to revive an old thread, but wouldn’t this question have no solution since it passes through the origin and therefore |p| > |r| cannot happen at that point?</p>
<p>p and r refer to the coordinates of point A, and the slope between (p,r) and (0,0) is r/p. Could you please clarify what you meant in that question?</p>