Given the points ((8, 5) and (6, 3)
the slope, m, of the line on which these points lie is
(5  3)/[8 (6)] = (8)/(2) = 4
The complete equation of the line is
y = 4x + b
We can solve for b by substituting one of the points into this equation:
3 = (4)(6) + b
b = 27
Check
Does 27 = 5  4(8)?
YES!!!!
The equation of any line perpendicular to y = 4x + 27 will have the general form
y = (x/4) + b
The slope of any line perpendicular to this will be (1/4)
1/14/2014

William S.