Let the equation of the straight line l be (M & # 178; - 2m-3) x - (2m ^ 2 + m-1) y = 2m-6, and determine the value of the real number m according to the following conditions. The straight line L passes through the fixed point P (- 1,1)

Let the equation of the straight line l be (M & # 178; - 2m-3) x - (2m ^ 2 + m-1) y = 2m-6, and determine the value of the real number m according to the following conditions. The straight line L passes through the fixed point P (- 1,1)

The equation of the line L is (M & # 178; - 2m-3) x - (2m ^ 2 + m-1) y = 2m-6. The line L passes through the fixed point P (- 1,1)
∴﹣m²+2m+3-2m²-m+1=2m-6 ∴3m²+m-10=0
(M + 2) (3m-5) = 0  M = - 2 or M = 5 / 3