Question 763324
The slopes of these lines would be equal.


{{{y=-3x+1}}} and {{{y=-(k/2)x+5}}} are the equivalent lines in slope intercept form.  Their slopes would be equal if these lines were parallel and they would have no common point, therefore no solution for the system of equations.


{{{-3=-(k/2)}}}
{{{3=k/2}}}
{{{highlight(k=3/2)}}}