因直线的法向量 = [2,-3],
所以
可设直线方程为
2x - 3y + a = 0
令x = 0,得 y = a/3,
令y = 0,得 x = -a/2.
3 = |a/3*(-a/2)|/2 = a^2/12,
a^2 = 36,
a = 6
或者
a = -6.
直线方程为
2x - 3y + 6 = 0
或者
2x - 3y - 6 = 0.