Assuming these are equations (i.e. m is a scalar, not a method), you can first rearrange the equations to get to a usual 2 variables / 2 equations model:
m.x1 - y1 = m.center_x - center_y
m.x1 - y1 = m.start_x - start_y
Then solve the linear system using general techniques. And you will find out that because the 2 equations are colinear, there is either no solution or many solutions to that system...