For a (1,3) and b (1,5), what is the equation of the perpendicular bisector of ab

Bearing in mind that perpendicular lines have negative reciprocal slopes, hmmmm what is the slope of AB anyway?



so, AB has an undefined slope of 2/0,



so it has a slope of 0 then, and we also know is a bisector of AB, meaning it passes AB through its midpoint, since it cuts it in two equal halves.



so, we're really looking for the equation of a line whose slope is 0, and runs through 1,4.