Question 1098920
{{{(k-4)y=-2kx-28}}}

{{{y=-2kx/(k-4)-28/(k-4)}}}


The condition means that {{{-28/(k-4)=7}}}; now solve for k, if you want.
{{{-28=7(k-4)}}}
{{{7k-28=-28}}}
{{{7k=0}}}
{{{k=0}}}


{{{0+(-4y)=-28}}}
{{{-4y=-28}}}
{{{highlight(y=7)}}}-----------------horizontal line.  No x-intercept.