Intersection of a line and a plane

Find the coordinates of the point where the line given by the equation $\tvec{r} = 4\tvec{i} - 2\tvec{j} + 2\tvec{k} + t(2\tvec{i} - \tvec{j} + 3\tvec{k})$, where $t \in R$, intersects the plane with the equation $2x + 3y - z = 6$.