It is the straight line joining the two points, A and B.
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(0.5, 2)
Points: (2, 3) and (4, 7) Gradient or slope: change in y/change in x = (7-3)/(4-2) = 4/2 = 2
7
15
As there is no change in y, the perpendicular bisector is given by x = (10 + k)/2 This is given as x = 7; thus: → (10 + k)/2 = 7 → 10 + k = 14 → k = 4