1. It is known that the image of a linear function passes through two points a (- 2, - 3) and B (1,3). (1) find the analytic expression of the linear function; (2) try to judge the point 1. It is known that the image of a linear function passes through two points a (- 2, - 3) and B (1,3) (1) Find the analytic expression of this first-order function; (2) Try to judge whether the point P (- 1,1) is on the graph of this linear function 2. Known: function y = (2m + 1) x + (M-3) (1) If the image of this function passes through the origin, find the value of M (2) If the image of this function does not pass through the second quadrant, find the value range of M

1. It is known that the image of a linear function passes through two points a (- 2, - 3) and B (1,3). (1) find the analytic expression of the linear function; (2) try to judge the point 1. It is known that the image of a linear function passes through two points a (- 2, - 3) and B (1,3) (1) Find the analytic expression of this first-order function; (2) Try to judge whether the point P (- 1,1) is on the graph of this linear function 2. Known: function y = (2m + 1) x + (M-3) (1) If the image of this function passes through the origin, find the value of M (2) If the image of this function does not pass through the second quadrant, find the value range of M

1. From a (- 2, - 3), B (1,3) let y = ax + B, it is obtained that: - 3 = - 2A + B (1) 3 = - A + B (2), (2) - (1): 6 = 3A, ｜ a = 2, B = 1y = 2x + 1 (2) substitute P (- 1,1) into: left = 1, right = 2 + 1 = 3, left ≠ right, P is not on this image