If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	The slope of L is positive
II.	The slope of L is need not be negative
III.	L exactly passes through 2 quadrants  Choices:
A) I only
B) II only
C) III only
D) I and II only
E) II and III only
Let (m,n) = (2,3)   (-m,-n) = (-2,-3)   Slope = (3+3)/(2+2) = 6/4 = 3/2   So II may be true   Let (m,n) = (2,-3) then (-m,-n) = (-2,3)   So slope = (3 +3)/(-2-2) = -3/2   so I may not be true   So such a line would be -&gt; (y - 3) = 3/2(x - 2)     -  (  - 3)= 
<gadget id="calculator">  -  (  - 3)</gadget>
<output>3</output>
3/2(x - 2)=&gt; 2y - 6 = 3x - 6   =&gt; 2y - 3x = 0, hence no x or y intercept, so it passes through origin.   III is true.   Answer - I and II only
<result>D</result>
If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	The slope of L is positive
II.	The slope of L is need not be negative
III.	L exactly passes through 2 quadrants