<image>Given that the quadratic function \( y_1 = ax^2 + bx + c \) (where \( a \neq 0 \)) and the linear function \( y_2 = kx + m \) (where \( k \neq 0 \)) intersect at points \( A(-1, 4) \) and \( B(6, 2) \) (as shown in the ), determine the range of \( x \) for which \( y_1 > y_2 \) is satisfied.