What is the equation of the line perpendicular to the line y =4/9 x – 2 that passes through the point (4,3)?

An815
Helping Hand line through point (a,b) with slope is given by
y-b=m(x-a)
slope of -9/4 is perpendicular to slope of 4/9, as y=4/9x-2 has slope 4/9. Our point is (4,3) therefore.
y-3=-9/4*(x-4)
y-3=-9/4x+9
y=-9/4x+9+3
y=-9/4x+12