Points (6,0) and (O,8) are the endpoints of the hypotenuse of a right-angled triangle, whose other vertex is at (x,y). What equation relates x and y? Attempt at solution: So What I am thinking is that the line will be perpendicular to the line with end points 6,0 and 0,8. So The gradient of this line is 4/3, hence the gradient of the other line perpendicular to this one will be -3/4 So the equation relating X and y is y = -3/4 x + c ? Now can I assume that given line is a perpendicular bisector to the hypotenuse and so interesects it at 3,4 (mid point) and hence substitue for c - which i get to 25/4 So y = -3/4 x + 25/4 , This kinda feels wrong and I would appreciate input. Thanks.