Question 756182
Given line: y = 1/4x - 2
A line parallel to this line will
have an equal gradient = 1/4
Using the formula: and coords (8, -1)
 y - b = m(x - a)
 y + 1 = 1/4(x - 8)
 4y + 4 = x - 8
     4y = x - 8 - 4
     4y = x - 12
   or
      y = 1/4x -3 (Divided by 4)

A line perpendicular to y = 1/4x - 2
will have a gradient = -4
This is because when lines are perpendicular
to each other their gradients multiply together
to equal -1
This case: m1 * m2 = 1/4 * -4 = -1
Using the formula: and coords (8, -1)
   y - b = m(x - a)
   y + 1 = -4(x - 8)
   y + 1 = -4x + 32
       y = -4x + 32 - 1
       y = -4x + 31

Hope this helps.
:-)