Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

Answer 1

first find the midpoint (pointof intersection): ((4-2)/2, (1+5)/2) or 1,3/2 check that.

Next find the slope of the line that connects the points: (1+5)/(4-2)=3

so the question now, is what is the equation of a line with slope -1/3, and goes through the point 1,3/2

y=mx+b
y=-1/3 x +b
to solve for b, put in the x,y point, and now you have m, and b.