High school mathematics linear system equation
Let the analytical formula of L be 2x-5y- 1+λ(x+4y-7)=0. Because AB is divided into two segments of 2: 3, the coordinates of the intersection distance A and B between L and AB segment are (1, 0) or (2,-1), then these two points are brought into the linear equations, and λ is obtained by reverse calculation. The answer is x-2y- 1=0 or 2x-y-5=0.