Answer:
y + 3/4x = 6/4
Step-by-step explanation:
1. Find slope of first line:
-3y = -4x - 9
y = 4/3 x - 9
slope 1 = 4/3
2. Find slope of the second line:
perpendicular = flip the slope and multiply by -1 (negative inverse)
slope 2 = - 3/4
3. Plug into standard form formula:
[tex]y - y_{1} = m(x -x_{1})[/tex]
[tex]y_{1} = 3\\ x_{1} = -2\\ m = -\frac{3}{4}[/tex]
y - 3 = -3/4(x - (-2))
y - 3 = -3/4x - 6/4
y = -3/4x + 6/4
y + 3/4x = 6/4
