Question 66424
2x + ky = 5

This is the equation of a line.

Slope of this line = -2/k

The other line is given to be 3x + y = - 2

==> slope of this line = -3

As the lines are perpendicular, the product of their slopes = - 1

==> (-2/k)(-3) = - 1

==> 6/k = -1

==> 6 = - k

==> 6/-1 = -k/-1

==> - 6 = k

Thus k = - 6


Good Luck!!!