Question 1041215
The perpendicular bisector has a slope of (1/3), the negative reciprocal of -3.
Therefore, (6-0)/(4-k), the slope, must equal (1/3)
cross multiply, and 4-k=(6*3)=18
k=-14, or B.  ANSWER
(-14,0) and (4,6) has a slope of 1/3. (the equation of the line is y=(1/3)x+(14/3)
the midpoint is (-5,3), so the equation of the perpendicular bisector is y-3=-3(x+5), or y=-3x-12
{{{graph(300,300,-20,10,-15,15,(x/3)+(14/3),-3x-12)}}}