The line through the midpoint of and perpendicular to the segment joining points (1, 0) and (5, -2).

Solution:

the slope of (1, 0) and (5, -2) is (-2-0)/(5-1)= -1/2

the midpoint of (1, 0) and (5, -2) is (3,-1)

so the line is

y-(-1)= -1/2 (x-3)

that is y= (-1/2)x+1/2