Question 940372
{{{y=((5+8)/(13+2))x+b}}}
{{{y=(13/15)x+b}}}
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{{{b=y-mx}}}
{{{b=5-(13/15)13}}}
{{{5/15-169/15}}}
{{{b=-144/15}}}
{{{b=-9&3/5}}}
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{{{y=(13/15)x-9&3/5}}}
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The line for the two given points contain the variable points,  (x, (13/15)x-48/5 ).   Point Q is one of these points.



{{{sqrt((x+2)^2+((13/15)x-48/5+8)^2)=2sqrt((x-13)^2+((13/15)x-48/5-5)^2)}}}
That is slightly, only slightly pre-simplified.  Continue simplifying this and solve for x.  Use the result to find the corresponding y-value.