<PRE><B>Question 35651</B>
If the two lines are parallel then their slopes must be equal.  Remember that slope = {{{m = (RISE)/(RUN) }}}.  


If lines are parallel, then {{{(RISE)/(RUN) = (RISE)/(RUN) }}}.


{{{(s-6)/(s+4-2) = (0-3)/(-2-5)}}}

{{{ (s-6)/(s+2) = (-3)/(-7)}}}
{{{ (s-6)/(s+2) = 3/7}}}


Since {{{a/b=c/d}}} means that {{{a*d=b*c}}}, it follows that
{{{ (s-6)/(s+2) = 3/7}}} means that {{{7(s-6) = 3(s+2) }}}.


{{{7s - 42 = 3s + 6}}}


Subtract 3s from each side, and add +42 to each side
{{{4s= 48}}}
{{{s = 12}}}


To avoid public embarrassment, perhaps I should check this.  The two points that were given in terms of s were (2,6) to (s+4,s), which if s = 12, would be (2,6) to (16,12).  The slope between these would be {{{(12-6)/(16-2) = 6/14 = 3/7}}}.  This is the same as the other slope, so it checks.


R^2 at SCC






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