Question 1121470
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<pre>
y = 2x + 13 has the slope of  2.


6y +ax = 6   is the same as  y = {{{(-ax+6)/6}}}  and has the slope of  {{{-a/6}}}.


You want to have {{{-1/2}}} = {{{-a/6}}}  (perpendicularity condition),  which leads you to


{{{1/2}}} = {{{a/6}}};   hence,  a = {{{(1/2)*6}}} = 3.


<U>Answer</U>.  a = 3.
</pre>

Solved.


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