Question

Write the equation of the line perpendicular to 9x+2y=18 and passes through the point (1,4)

Answer 1

This is what I got...

9x+2y=18
2y = -9x + 18
y = (-9/2)x + 9

m = (-9/2) so a perpendicular slope is 2/9

y - 4 = (2/9)(x-1)
y = (2/9)x - (2/9) + 4
y = (2/9)x - 38/9

Answer 2

Ok thanks that makes sense... How do I change this into standard form then?