It is known that the slope k of the straight line L is obtained through two points P1 (2,1) P2 (m, 2) (m ∈ R), and the inclination angle a of L and its value range are obtained?

It is known that the slope k of the straight line L is obtained through two points P1 (2,1) P2 (m, 2) (m ∈ R), and the inclination angle a of L and its value range are obtained?

① When m = 2, the slope does not exist, and the inclination angle α = 90 °; ② when m ≠ 2, k = (2-1) / (m-2) = 1 / (m-2), α = arctank = arctan [1 / (m-2)]; ∵ m belongs to R ∪, K belongs to (- ∞, 0) ∪ (0, + ∞), α belongs to (0, π / 2) ∪ (π / 2, π). In conclusion, K does not exist or K exists and belongs to (- ∞, 0) ∪ (0