Answer:
y = 4/3x - 5
Explanation:
First, change 3x + 4y = 16 to y = mx+b form
3x+4y=16
4y=-3x+16
y = -3/4x + 4
Now, to make it perpendicular, flip the slope and multiply be negative 1
You get 4/3 as your slope
You have you y-intercept, (0, -5), so now you can get your equation
It will be y = 4/3x - 5