The analytical expression of the straight line y = 3x + 1 is obtained by translating 2 units to the right and 3 units to the down______ .

The analytical expression of the straight line y = 3x + 1 is obtained by translating 2 units to the right and 3 units to the down______ .

∵is obtained by translation, ∵ let the analytic formula of the new line be y = 3x + B, ∵ the original line passes through the point (0, 1), ∵ the point obtained by translating 2 units to the right and then 3 units to the down is (2, - 2). Substituting it into the analytic formula of the new line, we can get: B = - 8, ∵ the analytic formula of the new line is: y = 3x-8