As shown in the figure, in the plane rectangular coordinate system, the endpoint coordinates of line AB are a (- 2,4), B (4,2), and the line y = kx-2 has an intersection with line AB, then the value of K cannot be () A. -5B. -2C. 3D. 5

As shown in the figure, in the plane rectangular coordinate system, the endpoint coordinates of line AB are a (- 2,4), B (4,2), and the line y = kx-2 has an intersection with line AB, then the value of K cannot be () A. -5B. -2C. 3D. 5

When a (- 2,4) is substituted by y = kx-2, 4 = - 2k-2, the solution is k = - 3, when the line y = kx-2 has an intersection with line AB and passes through the second and fourth image limits, K satisfies the condition K ≤ - 3; when B (4,2) is substituted by y = kx-2, 4k-2 = 2, the solution is k = 1, when the line y = kx-2 has an intersection with line AB and passes through the first and third image limits, K satisfies the condition K ≥ 1, that is, K ≤ - 3 or K ≥ 1 If the line AB has an intersection point, then the value of K cannot be - 2