\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider two sites \(A(0, 0)\) and \(B(4, 2)\).
  1. Calculate the coordinates of the midpoint \(M\) of the segment \([AB]\).
  2. Calculate the gradient (slope) of the segment \([AB]\).
  3. Determine the gradient of the perpendicular bisector.
  4. Find the equation of the perpendicular bisector in the form \(y = mx + c\).

Capture an image of your work. AI teacher feedback takes approximately 10 seconds.