For the inequality 2x−3y>6, which one of the following statements correctly describes its graph?
a) The boundary line is solid and the half-plane containing the origin is shaded.
b) The boundary line is dashed and the half-plane containing the origin is shaded.
c) The boundary line is dashed and the half-plane not containing the origin is shaded.
d) The boundary line is solid and the half-plane not containing the origin is shaded.