Question 750843
Sort the equation into y = mx + c
3x + 2y = 15 => y = -3/2x + 15/2

i) Gradient of GH is -3/2.
ii)If JK is perpendicular to GH
then JK's gradient = 2/3

 Lines that are perpendicular
to other lines have gradients
that multiply together to give
-1. (m1xm2=-1)

Using y - b = m(x - a) and point (4,1)
      y - 1 = 2/3(x - 1)
          y = 2/3x - 2/3 + 1
          y = 2/3x + 1/3
         or by multiplying throughout
         by 3
          3y = 2x + 1

Hope this helps
:-)