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已知直线\({a_1}x + {b_1}y + 1 = 0\)和直线\({a_2}x + {b_2}y + 1 = 0\)都过点\(A(2,1)\)，则过点\({P_1}\left( {{a_1},{b_1}} \right)\)和点\({P_2}\left( {{a_2},{b_2}} \right)\)的直线方程是___．
参考答案：\(2x+y+1=0\)
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