Question 775702
Coordinates of the mid point of the line segment formed by joining the points ({{{0}}},{{{3}}}) and ({{{-4}}},{{{5}}}) is ({{{(0-4)/2}}},{{{(3+5)/2}}}) i.e. ({{{-2}}},{{{4}}})

Also, the slope of the line joining ({{{0}}},{{{3}}}) and ({{{-4}}},{{{5}}}) is {{{(5-3)/(-4-0)=-1/2}}}

Therefore the slope of the perpendicular is {{{2}}} and it passes through the point ({{{-2}}},{{{4}}}).

Therefore its equation is:
{{{y - 4 = 2(x + 2)}}}
{{{y = 2x + 8}}}